Rational Exponents

Question 1

What is in exponential form?

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Question 2

What is in radical form?

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Question 3

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Question 4

Find the product with the exponent in simplest form. Then, identify the values of x and y. 6 1 3 • 6 1 4 = 6 x y x = , y =

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Part 1: 7; Part 2: 12

Question 5

Simplify:

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Question 6

Evaluate each expression.

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1/5

Question 7

A student simplified the rational expression using the steps shown.Is the answer correct? Explain.

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The answer is not correct. In the second step, the student divided the exponents (6/5 divided by 2/5 = 3) instead of using the quotient of powers property, which requires subtracting the exponents (6/5 - 2/5 = 4/5). The expression within the parentheses should have been x to the 4/5 power. Applying the outer exponent of 1/2, the correct simplified form is x to the 2/5 power.

Question 8

Evaluate: =

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256

Question 9

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9

Question 10

Select all of the following that you included in your answer.

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The answer is not correct.; The student did not use the quotient of powers property correctly.; The student divided the exponents within the parentheses instead of subtracting.; The correct simplified form is x to the two-fifths power.

Rational Exponents Answers

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