Negative Exponents

Question 1

Which of the following expressions are equivalent to 6-3?

Revolt · Accepted Answer

AssessCtrla0f93a26-9783-4331-8fd5-1da78a0844ef_1_A,AssessCtrla0f93a26-9783-4331-8fd5-1da78a0844ef_1_D

Question 2

Which of the following expressions are equivalent to ?

Revolt · Accepted Answer

A: mr001-2.jpg; D: mr001-5.jpg

Question 3

Write the expression 44(4–7)(4) using a single exponent.

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D: 4–2

Question 4

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

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-5

Question 5

Simplify (23)–2.

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A:

Question 6

Simplify . Assume .

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C:

Question 7

Simplify Assume .

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C:

Question 8

Question 8

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B:

Question 9

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

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A: mr001-2.jpg; C: mr001-4.jpg

Question 10

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).

Negative Exponents Answers

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