Negative Exponents

Question 1

Find the value of a that makes the statement true.a =

Revolt · Accepted Answer

-5

Question 2

Simplify (23)–2.

Revolt · Accepted Answer

B:

Question 3

Simplify . Assume .

Revolt · Accepted Answer

D:

Question 4

Simplify Assume .

Revolt · Accepted Answer

C:

Question 5

Question 5

Revolt · Accepted Answer

B:

Question 6

Select all of the expressions that are equal to the product of 10x9 and (60x–6)–1. Assume .

Revolt · Accepted Answer

A: ; C:

Question 7

Javier simplified the expression below. Find and describe the three mistakes he made.

Revolt · Accepted Answer

Javier made three primary mistakes in his simplification: 
1. In the third step, he did not raise the coefficients (5 and 20) to the third power as required by the power of a product rule.
2. In the denominator, he incorrectly raised x to the third power and got x^4 (likely by adding the exponents 1 and 3) instead of x^3.
3. In the final step, he divided the exponents (24 / 4 = 6) instead of using the quotient of powers property, which requires subtracting the exponents (24 - 4 = 20).

Question 8

Which of the following did you include in your response?

Revolt · Accepted Answer

A: Javier did not raise the coefficients to the third power; B: When Javier raised to the third power, he wrote that , but it equals .; C: In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.

Question 9

Simplify the quotient .–243–1/243✔ 1/243243

Revolt · Accepted Answer

C: ✔ 1/243

Question 10

Simplify

Revolt · Accepted Answer

D: 100,000

Negative Exponents Answers

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