Exponents and Radical Roots

• Simplify

• Write numbers as exponential terms

• Quotient of Powers Property

• Quotient Property of Roots

• Product Property of Roots

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CCSS.HSN.RN.A.2

Mathematical Equivalence

ON

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CCSS.HSN.RN.A.2

Mathematical Equivalence

ON

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CCSS.8.EE.A.1

Simplify.

• A

• B

• C

• D

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CCSS.8.EE.A.1

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

• 7³
• 7
• 7^3/4
• 7^4/3

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CCSS.HSN.RN.A.2

Challenge Question!
(2^-2x^-3y³)/(3^-3a²b^-4)

• (4x³y³)/(27a²b⁴)

• (27a²b⁴)/(4x³y³)

• (4x³b⁴)/(27a²y³)

• (27y³b⁴)/(4x³a²)

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CCSS.8.EE.A.1

Rewrite in radical form (root form).

• A

• B

• C

• D

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CCSS.HSN.RN.A.2

Rewrite in exponent form.

• A

• B

• C

• D

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CCSS.HSN.RN.A.2

Evaluate without a calculator:
81^-1/4

• 3

• -3

• 1/3

• -1/3