which expression is equivalent to 5^4 × (5^-3)^2?

Answers

Answer 1

Answer:

5^-2 or 1/25

Step-by-step explanation:

use index laws.

1. (A^m)^n = a^mn

5^4 x (5^-3)^2=
5^4 x 5^-6

2. A^m x A^n = A^m+n

5^4 x 5^-6

5^-2=
1/5²=
1/25

Answer 2

Answer:

[tex]5^{4}\times \left( 5^{-3}\right)^{2} =5^{-2}[/tex]

Step-by-step explanation:

[tex]5^{4}\times \left( 5^{-3}\right)^{2} =5^{4}\times 5^{-6}=5^{4-6}=5^{-2}[/tex]

We can write:

[tex]5^{-2}=\frac{1}{5^{2}} =\frac{1}{25}[/tex]


Related Questions

i need help with this, graphing

Answers

Answer:

30 baloons per hour

Step-by-step explanation:

Use some points on the graph:

(0, 0), (2, 60), (4, 120), (8, 240)

The graph is a line passing through the origin, so this is a proportional relationship.

Standard form of such relationship is

y = kx, where k- coefficient of proportionality

Using one of the coordinate pairs find the value of k

60 = 2kk = 60/2k = 30

This is indicating the number of baloons filled per hour is 30.

can someone help? Please :(

Answers

The answer is 64 took the test

The circumference of a wheel is 302 centimetres. Determine the diameter of the wheel. Round your answer to the nearest tenth.

Answers

All you have to do is 302 divided by 3.14, which is equal to 96.2 which is rounded (if I’m incorrect tell me!)

I. GIVEN TRIANGLE POR, DETERMINE THE FOLLOWING.

please help me out with this ​

Answers

34

Step-by-step explanation:

 122

This is a lengthy question ill go through all the formulas

This is a right triangle which means u can use pythagorean theorem to find QP

formula :

[tex]a^{2} +b^{2} =c^{2}[/tex]

Note that [tex]c^{2}[/tex] is always the hypotenuse(the hyp is always opposite to ninety degrees)

so lets substitute

=> [tex]a^{2} +17^{2} =28^{2}[/tex]

=> [tex]a^{2} +289 =784[/tex]

subtract 289 both sides

[tex]= > a^{2}=495[/tex]

Now square root both

[tex]\sqrt{ a}^{2}=\sqrt{495}[/tex]

==> [tex]3\sqrt{55}[/tex] or 22.2 (answer)

But for the other three u have to use another formula any of sin, tan,cos while using For example angle Q and then use any and do inverse it will be very easy after u know all the formulas of Sin,cos, tan

SOHCAHTOA

^

Thats an acronym   for the formula

Sin= Opposite/ hyp

Cos= Adjustent/Hyp

Tan= Opposite/Adjustent


1. What is the simplified form of the rational expression below?
3.22_10x-8
22-1-12

Answers

[tex]\dfrac{3x^2-10x-8}{x^2-x-12}\\\\\\=\dfrac{3x^2-12x+2x-8}{x^2 -4x +3 x -12}\\\\\\=\dfrac{3x(x-4)+2(x-4)}{x(x-4)+3(x-4)}\\\\\\=\dfrac{(x-4)(3x+2)}{(x-4)(x+3)}\\\\\\=\dfrac{3x+2}{x+3}[/tex]

13) Which value is equivalent to the expression 7^2 - 3^4
A) -32
B)-19
C) 16
D) 32

Answers

Answer:

-32

Step-by-step explanation:

7^2 = 49

3^4 = 81

49-81=

-32

how do you get the distance between 2 platforms in a zip line math question

Answers

Answer:

Could I have more info please? It would be great if there was a graph or some extra description of the problem. I can then write the answer and explanation in the comments. Thanks!

At Freddy’s fro yo shop 25 percent of the 44 frozen yogurt flavors are sugar free how many frozen yogurt flavors are sugar free

Answers

25%of44=11 .so 11 frozen yogurt flavours are sugar free

Suppose that 5 green balls and 10 purple balls are placed in an urn. Two balls are then drawn in succession. What is the probability that both balls drawn have the same color if the first ball is replaced before the second is drawn

Answers

Answer:

redonculus preshambles.

Step-by-step explanation:

Question 15.
Which expression is equivalent to
(4x³ + 5x² + 2) + (3x² - 7x + 4)?

Answers

Here’s the answer hopefully you can understand my handwriting

Answer:

4x³ + 8x² - 7x + 6

Step-by-step explanation:

remove the brackets by distributing the sign.

4x³ + 5x² + 2 + 3x² - 7x + 4

4x³ + 8x² - 7x + 6

Gather like terms.

If you want to factorise (optional)

4x³ + 8x² - 7x + 6 =

4x²(1 + 2x) - 6x + 3 + 3 - x

4x²(1 + 2x) - 3(1 + 2x) + 9 - x

(4x² - 3) (1 + 2x) + 9 - x

jamie read an 80 page book in 2 hrs. how long would it take him to read a 100 page book?

Answers

Answer:

1.5 hours

Step-by-step explanation:

80 /120= 100/x

80x=12000

12000/80=150

150 minutes- 1.5 hours

Answer:

Around 2 hours and 50 minutes.

Solve

If Jamie can read an 80 page book in 2 hours, divide 100 by the time, 2 hours.

[tex]100 / 2 = 50[/tex]

Add that to the time, 2 hours.

[tex]= 2~hrs.~50~mins.[/tex]

The diagram shows the locations of the sun, Earth, and the moon. Which of these is possible only when the sun, Earth, and the moon are aligned as shown?

Answers

Answer:

It will experience a low tide because water is drawn away from the area between the high tides.

Explanation:

The oceans on earth bulge outwards towards the sun and moon due to gravitational pull. This building is highest when the moon and sun are in line (same plane). The coastline within this plane will experience high tides while those at the right angle will have the lowest tides.  

what is the cost of 23.5 gallons of gas

Answers

Answer:

Too much

Step-by-step explanation:

I did the math myself

How many ways can you select a
volleyball team (6 players) from a group of 8 people?

Answers

Answer:

only once

Step-by-step explanation:

Ok look at it this way there's 8 people and you need 6 you take 6 you will have 2 left so there is only 1 way to to select a volleyball team of 6 out of 8 people

Which expression is equivalent to m^2 - m - 12 ?

a) (m + 2)(m - 6)
b) (m - 3)(m + 4)
c) (m - 2)(m + 6)
d) (m + 3)(m - 4)

Answers

Answer: D-(m+3)x (m-4)
Explanation: m^2 is basically 1 and -m is -1 while the -12 stays the same. Honestly don’t know how to explain it.

What is the third angle on a triangle with angels of 45 and 45?​

Answers

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \huge\mathsf \pink{90°}[/tex]

X + 45° + 45° = 180° X + 90° = 180°X + 90° - 90° = 180° - 90° X = 90°

Simon wants to buy some flowers He goes into a flower shop and buys 7 daffodils and 6 daisies Simon wants to know the cost of daffodils per flower Unfortunately, Simon forgot to get a receipt, however, he can remember that daisies costs 61p per flower. He can also remember that he spent £8.49 What is the cost of daffodils per flower?​

Answers

Answer:

69p each

Step-by-step explanation:

well if each daisy is 61p you want to multiply that price by 6 to get total daisy price, which is £3.66 Then you take £8.49 from £3.66 to get the total price of the daffodils, which is £4.83. Then you divide the the price by the number of daffodils which is 69p. :))(

ABCD ~ EFGH
C
B
G
3
140°
F
4.5
2
y
50°
110°
A
D
E
2.4
H
y =

Answers

[tex]z=110[/tex][tex]A[/tex]

is your final answer. Pls makr me brainiest

The value of y is 3 units.

What are similar figures?

This characteristic is referred to as resemblance or comparable figures when two or more items or figures appear to be the same or equal based on their shapes. These figures always superimpose one another regardless of how they are magnified or diminished. When two shapes, such triangles, polygons, or quadrilaterals, have the same dimension or common ratio but a different size or length, they are referred to as comparable figures in geometry.

Given quadrilateral's are similar

ABCD ≈ EFGH

for similarity the angles of both figures are equal and ratio of length of their sides are equal,

so AB/EF = BC/FG = CD/GH = DA/HE

we have AB = 3, EF = 2

CD = 4.5 and GH = y

substitute the values

3/2 = 4.5 /y

y = (4.5 x2)/3

y = 3 units.

Hence the measure of y is 3 units.

Learn more about similar figures;

https://brainly.com/question/3426329

#SPJ2

HELP PLEASE! The perimeter is 22. How much bigger is the longest side than the shortest side?
I asked this question two hours ago, and since then, I haven't recived any help. I don't mean to sound demanding and I understand that there are millions of users here, but it seems it's been a while since someone's answered this, and I can't figure it out.

Answers

Answer:

[tex]\frac{52}{7}[/tex] [tex]units[/tex]

Step-by-step explanation:

Add up all the sides.

(2a - 3) + (3a + 1) + 2a = 7a - 2

Lets set it equal to 22 since it is the perimeter

7a - 2 = 22

add 2 both sides

7a = 24

a = [tex]\frac{24}{7}[/tex]

From the image, you can tell that 2a -  3 is the shortest side and 3a + 1 is the longest side.

(3a + 1) - (2a - 3)

Substitute [tex]\frac{24}{7}[/tex] in for a.

You should be able to get [tex]\frac{52}{7}[/tex]  units.

!!!!!help please!!!!!

Answers

to G H I would be 2x2x3.

9×100+9×10+0×1+0×1/10+3×1/100+7×1/1000

Answers

Answer: 990.037

Step-by-step explanation:

About 14,200,000 results (0.72 seconds)

990.037 +9×10+0×1+0×1/10+3×1/100+7×1/1000

Please help I need this! Pls!!

Answers

Answer:

Step-by-step explanation:

To find how many it is greater, divide the size of the largest email by the smallest email and both should in bytes. So, convert megabytes and kilo bytes to bytes.

4 kilo bytes = 4* 10³ bytes

8 megabytes = 8 * 10⁶ bytes

[tex]\sf \dfrac{8*10^6}{4*10^3}= 2 *10^{(6-3)}[/tex]

           [tex]= 2*10^{3}\\\\= 2*1000\\\\= 2000[/tex]

Hint:

[tex]\boxed{\dfrac{a^{m}}{a^n}=a^{m-n}}[/tex]

It takes Don 55 minutes to finish his
math homework and 25 minutes to
finish his reading homework. How
many more minutes did Don spend
on his math homework than on his
reading homework?

Answers

Answer:
Don spent 30 more minutes on his math homework than reading homework.

Step-by-step explanation:

55 - 25 = 30

Mike has $21 to spend at the mall.
He spends all of his money on
bracelets for his sisters. Bracelets
cost $3 each. How many bracelets
does he buy?

Answers

Answer:

7 Bracelets

Step-by-step explanation:

Okay, you have 21$ to spend, since bracelets cost 3$ each (not including tax), you can do 21/3 which will get you 7 bracelets. Hope this helps!

Answer:

7 bracelets

Step-by-step explanation:

21/3 = 7

Find the equation of the line shown

Answers

Answer:

the equation of the line is 2y-x-1

pls give brainliest

1. The circle x² + y² = 45 is shown graphed along with the point (6, 3).
(a) Determine graphically the slope of the line segment connecting the origin to the point (6,3).

(b) Carefully draw in the tangent line to the circle at (6,3) using the negative reciprocal slope of the one you found in (a).

(c) What is the y-intercept of the tangent line?

Answers

Answer: Please see the analysis in the picture

(-3)+5+(-5)+12=


Can someone break this down for me?
I just wanted to get some help ...

Thank you ! ​

Answers

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex](-3)+5+(-5)+12=\\-3+5-5+12=\\5-5-3+12=\\-3+12=\\12-3=\\9[/tex]

Whenever you are doing a problem that says [tex]+(-n)[/tex] (n for number), it's the same as subtracting that number.

The answer is nine your welcome

Jerry is mowing his lawn.It takes him 1/6 of an hour to mow 3/20 of his yard. What proportion of the yard does jerry mow per hour

Answers

Answer:

If he mows 3/20 in 1/6 of an hour he'll mow 18/20 or 9/10 in one hour

which means the ratios are equal

1/6:3/20 = 1:18/20 = 1:9/10

Therefore, Jerry will mow 90% of the lawn in one hour

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may GOd bless you

The tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it. If there are 8 dolls in the collection, which is closest to the combined height of the dolls?
A. 1.5 meters
B. 2 meters
c. 3.1 meters
D. 4 meters

Answers

Answer:

the answer is a for approval

PLEASE ANSWER ASAP

The table represents the distance and height for softball travels after being hit by the batter.
use a quadratic regression model to find the height of the softball when it travels 12 feet. round to the nearest foot.

Answers

The height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.

What is the correlation coefficient?

Correlation coefficient is used to calculate how strong the relationship is between the two variables.

When there is a statistical relationship between two or more variables, then they are said to be in correlation.

The table represents the distance and height for softball travels after being hit by the batter.

          Distance x (ft)              Height y (ft)               0                                  5               2                                  25               4                                  37               6                                  42               8                                  34              10                                  26Mean     5                                   28.167    

The mean of the data of distance is 5 and the mean of the data of height is 28.167. The correlation coefficient is 0.9938.

The quadratic regression model for this model is given as,

[tex]y=5.29+11.78x-0.98x^2[/tex]

At the 12 feet, the value of height y is,

[tex]y=5.29+11.78(12)-0.98(12)^2\\y=5.53[/tex]

Hence, the height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.

Learn more about the correlation coefficient here;

https://brainly.com/question/4219149

#SPJ1

Other Questions
A constant volume of oxygen is heated from 100oC to 185 oC. The initial pressure is 4.1 atm. What is the final pressure? Which of the following is an example of The Uses of Geography? A. Planning to build a new school based on maps and charts about local populations. B. Designing and building a phosphate mine in an unpopulated area. C. Creating a new language for communicating with others. D. Opening a new zoo with animals from overseas. What is the empirical formula of a compound that is 41.4% Strontium, 13.24%Nitrogen, and 45.3696 Oxygen Find the total resistance .... Which of the following was adirect result of the Second GreatAwakening?A. the Revolutionary WarB. the Labor Union movementC. the Abolitionist's movementD. the Populist party PLEASE HURRYHow did geography affect the growth of civilizations in Mesopotamia?A. Gold mines helped civilizations become rich.OB. Flooding rivers kept the soil fertile for farming.OC. Large forests provided lumber for shipbuilding.OD. Huge mountains kept civilizations isolated. True or False: All antibiotics work the same by attacking the cell membrane of bacteria.A. TrueB. False I also need help on this question What international institution was created in 1946 to facilitate and reinforce the exchange rate system created in the aftermath of World War II Please help me worth 100 points. The Greeks admired their __________________ blank as much as their statesmen or philosophers. i need help with this question Read the excerpt from The Diary of Anne Frank.Mrs. Frank. Peter, I'm glad you are to be with us.Peter. Yes, Mrs. Frank.(Mrs. Frank goes to join Mr. Frank and Margot.)(During the following scene Mr. Frank helps Margot and Mrs. Frank to hang up their clothes. Then he persuades them both to lie down and rest. The Van Daans in their room above settle themselves. In the main room Anne and Peter remove their shoes. Peter takes his cat out of the carrier.)Anne. What's your cat's name?Which best describes the purpose of the stage directions in this excerpt?They encourage the reader to pretend that he or she is a part of the scene.They tell the reader what each person is doing without forcing dialogue.They build suspense by telling the reader what is going on without dialogue. They encourage the reader to imagine what each person might be thinking.Mark this and return Choose the sentence that does not support the following topic sentence. Weather often plays a part in people's moods. A balance of sun and rain seems to be the best thing for an even and relaxed mood.B. Rainy weather has been linked to depression. C. Snow and ice keeps people indoors and close together. D. Sunny weather often brings a calm and peaceful mood. When blood is drawn, why does it only come out red and not white? what are the equivalent celsius and kelvin temperatures of -128 f? The early Classical symphony made use of drawn-out crescendos, slowly gathering force as it built to a climax. This innovation was known as A positive world view is related to _______________________ for older adults: Group of answer choices believing that life is meaningful less well-being. decreased family contact increased responsiveness to regretful events. What are the possible transformations that could have been used to create the red figure A'B'C'D' from the bluefigure ABCD?AD'-5-4-3-2-1. B3 A 5 x-2a reflection acrossthe y axis followed by a translation of 5 units up and 5 units leftO a reflection across the y axis followed by a 90-degree rotation counterclockwise about the origina rotation of 90 degrees counterclockwise about the origin followed by a reflection across the y axisA5432BBBNi& &2 Easy math what one a b c d e Why is water wet?And what happens after we die?