AnswersAdv. Algebra II S2 OriginalRational Exponents

Rational Exponents Answers

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1
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Find the product with the exponent in simplest form. Then, identify the values of x and y.

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Blank 1:7
Blank 2:12
2
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What is in radical form?

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Write the expression 6 7 12 in radical form.

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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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Blank 1:7
Blank 2:12
5

Simplify:

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6

Evaluate each expression.

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Answer:

1/5

7

What is in exponential form?

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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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Blank 1:7
Blank 2:12
9

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Simplify:

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11

Evaluate: =

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Answer:

256

12

Evaluate each expression.

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Answer:

1/5

13

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.

14

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

A
The answer is not correct.
B
The student did not use the quotient of powers property correctly.
C
The student divided the exponents within the parentheses instead of subtracting.
D
The correct simplified form is x to the two-fifths power.
15

x = [___], y =

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12

16

Evaluate: =

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256

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Answer:

9

18

What is in radical form?

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12

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9

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