Test on Radicals and Rational Exponents

What is the first step to solving Radical Equations?

• Check for extraneous solutions.

• Raise each side of the equation to the power of the index.

• Isolate the radical on one side of equations.

• Solve the remaining equation.

• Convert from radical form to rational exponent form

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CCSS.HSA.REI.A.2

• Dividing

• Cubing

• Squaring

• Subtracting

• Multiplying

Simplify
(x²⁄ ³)²⁄ ⁵

• x⁴∕ ¹⁵

• x¹⁶∕ ¹⁵

• x⁶

• 6x

What is the value of 27^⅓?

• 27

• 9

• 3

• 1/3

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

Select the best answer.

• F

• G

• H

• J

• K

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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

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

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

Simplify.

• A

• B

• C

• D

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CCSS.HSA.APR.A.1