Properties of Exponents with Radicals & Rational Exponents

Flashcard
•
Mathematics
•
9th Grade
•
Medium
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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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