Properties of Exponents with Radicals & Rational Exponents

Properties of Exponents with Radicals & Rational Exponents

Assessment

Flashcard

Mathematics

9th Grade

Medium

CCSS
8.EE.A.1, HSN.RN.A.2, HSA.APR.A.1

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the property of exponents that states \( a^{-n} = \frac{1}{a^n} \)?

Back

This property allows us to express negative exponents as fractions.

Tags

CCSS.8.EE.A.1

2.

FLASHCARD QUESTION

Front

Simplify the expression: \( (t^{-6})^{-5} \)

Back

\( t^{30} \)

Tags

CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

What is the equivalent expression in exponential form for \( 224^{\frac{1}{5}}r^{\frac{1}{35}} \)?

Back

\( (224r^7)^{\frac{1}{5}} \)

Tags

CCSS.HSN.RN.A.2

4.

FLASHCARD QUESTION

Front

Simplify the expression: \( \frac{12x^9y^4z^2}{24x^3y^4z^6} \)

Back

\( \frac{x^6}{2z^4} \)

5.

FLASHCARD QUESTION

Front

What is the product of \( 3x^2 \cdot x^2 \)?

Back

\( 3x^4 \)

Tags

CCSS.HSA.APR.A.1

6.

FLASHCARD QUESTION

Front

What is the property of exponents that states \( a^m \cdot a^n = a^{m+n} \)?

Back

This property allows us to add the exponents when multiplying like bases.

Tags

CCSS.8.EE.A.1

7.

FLASHCARD QUESTION

Front

What is the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \)?

Back

This property allows us to subtract the exponents when dividing like bases.

Tags

CCSS.8.EE.A.1

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