Rational Exponents to Radicals and Vice Versa

The right side of the equation should be multiplied by 3

• The expression at the right side of the equation should NOT be enclosed in the parenthesis.

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CCSS.HSN.RN.A.2

Rewrite in Exponential Form.

• A

• B

• C

• D

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2

This expression can be written as the following exponent on x.

• x^1/5

• x^-1/5

• x^-5

• x⁵

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CCSS.HSN.RN.A.2

The expression can be written equivalently with the following exponent on x. 

• 5/9

• 9/5

• 4

• 45

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CCSS.HSN.RN.A.2

Select the best answer.

• F

• G

• H

• J

• K

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CCSS.HSN.RN.A.2

Simplify the expression:

• 6x²y² ∛3

• 6xy² ∛6x²

• ∛1296x⁵y⁶

• cannot combine; unlike radicand

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CCSS.HSN.RN.A.2

A rational exponent can be broken down by identifying the numerator as a ​ ​ (a)   and the denominator as a ​ (b)  

• power

• root

• radical

• index

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CCSS.HSN.RN.A.2

• 7³

• 7

• 7^3/4

• 7^4/3

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CCSS.HSN.RN.A.2