Mathematics College

Which power does this expression simplify to?
[(7^5)(7^3)]^-4

Which Power Does This Expression Simplify To?[(7^5)(7^3)]^-4

Answers

Answer 1

Answer:

1/7^32

Step-by-step explanation:

when multiplying two bases with different exponents, you keep the base and add the exponents, making the first step of this (7^5)(7^3)=7^8

but when you multiply a base and exponent by just an exponent, you keep the base and multiply the exponents, making the second step 7^8(^-4)=7^-32

you cannot have a negative exponent, and would therefore turn it into a fraction with the base and exponent at the bottom, making your final answer 1/7^32

Related Questions

Simplify the algebraic expression by combining like (or similar) terms.
x - 5x

Answers

Answer:

-4x

Step-by-step explanation:

Subtract 5x from x to get to -4x.

Answer:

-4x

Step-by-step explanation:

you only need to simplify the constants of the terms

(1) + (-5) = -4

Which single transformation can be applied to the graph of y = 72 StartRoot x EndRoot to produce the graph of y = 9 StartRoot x EndRoot?
- vertical translation
- vertical compression
- horizontal translation
- horizontal compression

Answers

Answer:

vertical....

Step-by-step explanation:

NawfSide 38 Baby

Answer:

B vertical compression

Step-by-step explanation:

edge :)

Which angle is a vertical angle with Angle EFD?

Answers

Answer:

Angle AFB

Step-by-step explanation:

You earn $9.50 per hour at your summer job. Write and solve an inequality to find the number of hours you need to work to buy a camera that costs $247. define the variable. create an inequality. Solve.

Answers

Let
h
represent hours worked.
Now, we know the pay for one hour of work is
$
9.50
. So, the amount of pay for
h
hours worked is given by
9.50
h
.
Furthermore, since we're saving for a camera that costs
$
247
,
we want at LEAST
$
247
(but it's okay if we have more). So, we'll be using
≥
in the inequality.
So, our inequality is
9.50
h
≥
247

To solve, we simply divide both sides by
9.50
:
h
≥
247
9.50

h
≥
26

You need to work at least
26
hours to buy the digital

Write the equation of the line that passes through (-1,2) and (4,-2)

Answers

I think it’s y=-4/5+6/5

The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. x 1 2 4 8 16 p(x) 0.05 0.15 0.25 0.30 0.25 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) GB (b) Compute V(X) (in GB2) directly from the definition. (Enter your answer to four decimal places.) GB2 (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) GB (d) Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.) GB2

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

x: ____ 1____ 2____ 4____ 8____ 16

p(x): _0.05_ 0.15__ 0.25__0.30__ 0.25

E(X) : Σ[(X). P(X)]

Σ(1*0.05) + (2*0.15) + (4*0.25) + (8*0.30) + (16 * 0.25)

= 7.75

B)

E(x) = u = 7.75

Var(X) = E[(x - u)²*p(x)] = (1 - 7.75)^2 * 0.05 + (2 - 7.75)^2 * 0.15 + (4 - 7.75)^2 * 0.25 + (8 - 7.75)^2 * 0.30 + (16 - 7.75)^2 * 0.25 = 27.7875

C)

Standard deviation (s)

s = √Var(x)

s= √27.7875

s = 5.271

D)

VAR(X) = E(X²) - (E(X))²

E(X²) = Σx²*p(x)

E(X²) = Σ(1^2 * 0.05 + 2^2 * 0.15 + 4^2 * 0.25 + 8^2 * 0.30 + 16^2 * 0.25) = 87.85

V(X) = E(X^2) - (E(X))^2 = 87.85 - 7.75^2 = 27.7875

You want to estimate the number of students in your middle school who play video
games. Which of the following would represent a random, valid sample?
O 10 students from your homeroom class
O Your 5 best friends at the lunch table
100 randomly selected people from your apartment complex
O 100 students selected randomly as their enter your middle school in the morning

Answers

Answer:

100 students selected randomly as their enter your middle school in the morning

Step-by-step explanation:

Answer:

C (100 students selected randomly from your middle school)

Step-by-step explanation:

The first one is wrong because its only 10 people from your homeroom.

The next one is also wrong sense its only 5 people who could also share the same interests as you.

The next one is wrong because its not from their middle school

That leaves us with the last one, its selected randomly with a lot of people involved from their middle school.

what is the simplified term
(6^2)(-3^5)

Answers

Answer:

-8748

Step-by-step explanation:

(6^2)(-3^5)

(6 x 6)(-3 x-3 x-3 x -3 x -3)

(36)(-243)

36 x -243

-8748

-4(7a + 5) = -160

What does A = to? :)

Answers

Answer:

a=5

Step-by-step explanation:

first, let's distribute on the left side.

-4(7a+5)=-160

-28a-20=-160   distribution

-28a=-140   adding 20 on both sides

a=5     dividing by -28 on both sides

there's your answer!

in a group of 120 students,68 had riddena bus,78 had ridden the LRT,20 had riddenthe bus and the jeep ,19 had ridden the LRT and the jeep and 15 had ridden the bus,the LRT and the jeep.

a.how many had ridden the bus only?​

Answers

Answer:

575786

Step-by-step explanation:

I believe the answer is 33

20+15=35 >> 68-35=33

So, their are 120 students (irrelevant)
78 rode the LRT (irrelevant)
68 rode the bus (relevant)
20 rode the bus and Jeep (relevant)
19 rode the jeep and LRT (irrelevant)
15 rode all three (relevant)
So; Out of the 68, 35 rode on something else>>to get the answer you would take 35 away from 68 and get 33
Hope this helped...

how many inches smaller is a 13.26 inch worm than a 14.13 inch worm

Answers

.87 jsjsjdjdjdnwnwkoadodjdhjejeieisosossosjdjdjeiwiisjddjdjdididid

Please first to answer will get brainliest

The water level of a tank every minute since it began filling is indicated by segments A,B,C on the graph below

Put the segments in the correct order from least to greatest rate of increase in water level

Answers

A then C then B

I hope this helps!

B, C, A because A is the steepest line, meaning it fills up the quickest and B is the least quick because it has the least steep line according to the graph.

Hope this helped!

There are 450 cars in the car lot about 28% of them are hybrid cars. About how many cars are hybrid cars? Explain your reasoning.

Answers

Answer:

there are 126 hybrid cars.

Step-by-step explanation:

28% of 450 is 126

ta-daaa

__,__,__,89,115,141 so

Answers

Answer:

11, 37, 63, 89, 115, 141

Step-by-step explanation:

Subtract 89 from 115 and you get 26.

Subtract 115 from 141 and you get 26.

Its a pattern, subtract 26 from 89 and you get 63, keep subtracting 26.

Answer:

11, 37, 63, 89, 115, 141

Step-by-step explanation:

Every time you proceed right you add 26 to the last number.

Every time you go left you take away 26 from the last number

Hope this helps:)

(just add until 89 is 115 and add the answer to 115 and see if the answer adds up)

Which are correct representations of the inequality -3(2x - 5) < 5(2-x)? Select two options. A)x< 5
B)-6x - 5 < 10-X
C)-6x + 15 < 10 - 5x
D)6 -3 1 2 3 5 6 7
E)-7-6 --5 4 3 2 1 1 2 3​

Answers

Answer:

C and D or 3 and 4 0-0

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

EDG 2021

how many centiliters are in 3 quarts?

Answers

Answer:

283-284

The real answer is like 283.906

what is 5 minus 4???
ik its getting harder
but im very stuck

Answers

Answer:

5-4=1

Step-by-step explanation:

it would equal 1 since 4+1=5

Answer:

YoUr AnSwEr Is EqUaL tO oNe

Step-by-step explanation:

5 MiNuS 4 eQuALs 1

A candy store makes 6 1/2 pounds of fudge in 1/4 hr how many pounds of fudge can the store make in 1 hr

Answers

Answer:

26 lbs

Step-by-step explanation:

there are four 1/4 hours in an hour  1/4 x4=1 hour

6 1/2 x4= 26 lbs in an hour

for a repair job an electrician charges an hourly rate of d dollars plus a flat fee of 50 the electricion charged a total if 114 for a 4-hour repair job. Part B. What is the value of D

Answers

Answer:

B. 4d + 50 = 114

Step-by-step explanation:

Given parameters:

Hourly rate = $d/hr

Flat fee = $50

Charge for the 4hrs = $114

Number of hours = 4hrs

To find d;

    Total cost  = $114;

             $114  = Flat fee + (rate per hour x number of hours)

            $114 = $50 + 4d

The value of d can be calculate using;

           4d + 50 = 114

The value of d is 4d + 50 = 114

Could anybody help with this question? My teacher didn’t give a review so I’m not sure what to do. Any help is appreciated!

Answers

Answer: 6

Step-by-step explanation: set the equations equal to each other then solve. plug that number into the equation for AB

Which equation is a function?
O A. X = -2
O B. Y= 2x – 9
O C. y² = x - 2
O D. x² + y² = 9

Answers

the answer is B -- no matter the x factor y should be single

a
b
124°
95°
42
53°
C
باوکی
39°
95°
If the slope of line c is given, the slope of
which other line is known?

Answers

Answer:

Line d

Step-by-step explanation:

Since, transversal b is forming equal degree of angles (95°) with lines c and d.

So, line c || line d

As we know that parallel lines have same slope.

So, If the slope of line c is given, the slope of line d is also known.

A line has a slope of -2/3 and passes through the point -3 and eight what is the equation of the line

Answers

Answer:

Y=-2/3x+10

Step-by-step explanation:

We have the slope -2/3, so we can find the y intercept by plugging in the given coordinate (-3,8). if y=mx+b, 8=-2/3(-3)+b. If you simplify the equation, you would get 8=-2+b, and then you would get 10=b. 10 would then be the y intercept.

PLS HELP ASAP
Explain how to estimate the product of 12 x 6. Use complete sentences in your answer.


WRITER
I need a written response pls not just the answer

Answers

Answer:

  10×6 with 20% added = 60+12 = 72

Step-by-step explanation:

There are several ways to estimate the product of these numbers. One way is to round 12 to 10, then multiply 10×6 to get 60 as an estimate. You know this estimate is low, because you rounded down from 12 to 10. You know that a better estimate will be about 20% higher, because 12 is 20% higher than 10.

The product can be computed mentally by recognizing that 12 is 6×2, so the product will be 6²×2. Most schools have you memorize your times tables at least through 10×10, so you already know that 6² is 36. Doubling that value (to 72) gives you the value of 6×12.

Another way to estimate the product is to round 12 to 10 and 6 to 5. Again, you know each of these "stand-in" values needs to be increased by 20% to match the real values. Then the product estimate is 10×5 = 50, and you judge that to be low by 20% +20% = 40%. 40% more than 50 gives you a refined estimate of 70, but you know that, too, is low by a small amount. (Percentage changes can only be added accurately when they are very small. The true error is 44%, which is 20%+20%+(20%)(20%).)

if 300 apples cost 17600 how much does 1 apple cost​

Answers

Answer:

58.67 17600/ 300 = 58.67

What is the slope of the line represented by the equation y = 4/5x - 3?
-3
-4/5
4/5
3

Answers

Answer:

4/5 is the slope of the line represented by the equation y = 4/5x - 3

The slope of this equation is 4/5

There are 15 students on the debate team. Of these, 3 are boys. Give the ratio of boys to girls on the debate team in simplest form.​

Answers

Answer:

1/5

Step-by-step explanation:

hi please help ): picture is included

Answers

Answer:

a

Step-by-step explanation:

the over all total equals 200 and you can not subtract the 2 variables to get the total you have to add them

72 red roses, 60 pink roses, and 48 yellow roses. What is the greatest number of bouquets that the florist can make if no roses are left over?

Answers

Answer:

12 bouquets

Step-by-step explanation:

Determine what the greatest common factor is in this case...

72/12 = 6 red roses

60/12 = 5 pink roses

48/12 = 4 yellow roses

As you can see the greatest common factor is 12. Therefore the greatest number of bouquets that the florist can make if no roses are left over should be 12 bouquets.


What is the solution to the following equation?
X-3(2x-8)= -25
A. X= 11

B. X= 14

C. X=10

D. x=5

Answers

Answer: X-3(2x-8)= -25

A. X= 11

B. X= 14

C. X=10

D. x=5

Step-by-step explanation:

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