Properties of Radicals and Fractional Exponents

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CCSS.HSN.RN.A.2

Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents.

• By allowing for a notation for radicals in terms of rational exponents.

• By using only whole numbers.

• By ignoring the properties of integer exponents.

• By using only positive numbers.

Write as a radical expression
y¹⁄ ³

• ∛y

• y³

• √y

• 1∕ 3y

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CCSS.HSN.RN.A.2

• 
• 
• 

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CCSS.HSN.RN.A.2

Which expression with a fractional exponent best represents √7 ?

• 7 ^½

• 7¼

• 7⅓

• 2⁷

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CCSS.HSN.RN.A.2

Simplify the following expression:

• 2

• 4

• 16

• 64

Simplify:

• 2

• 8

• 16

• 32

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CCSS.HSN.RN.A.2

• ∛y

• y³

• √y

• 1∕ 3y

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CCSS.HSN.RN.A.2

• it disappears

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CCSS.HSN.RN.A.2