AnswersDHS Algebra 2 VGeometric Series

Negative Exponents Answers

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

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What is the product of 44(4–7)(4)?

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Which of the following expressions are equivalent to ?

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Simplify (23)–2.

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Simplify . Assume .

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Simplify (23)–2.

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Simplify Assume .

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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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