Negative Exponents Answers

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3

Simplify (23)–2.

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64
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4

Simplify . Assume .

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5

Simplify Assume .

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8

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

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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).

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Which of the following did you include in your response?

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Javier did not raise the coefficients to the third power
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When Javier raised to the third power, he wrote that , but it equals .
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C
In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.
10

Simplify

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–100,000
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100,000
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11

Simplify . Assume .

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