Power to a Power Rule (Exponents)
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Wayground Content
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16 questions
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1.
FLASHCARD QUESTION
Front
What happens to the exponents when raising a power to a power?
Back
We multiply the exponents.
2.
FLASHCARD QUESTION
Front
True or False: According to the power to a power rule, \( (x^5y^7)^3 = x^{15}y^{21} \) is correct.
Back
True
3.
FLASHCARD QUESTION
Front
Simplify: \( m^5 \cdot m^2 \)
Back
\( m^7 \) (using the product rule of exponents)
4.
FLASHCARD QUESTION
Front
Simplify: \( (x^5)^4 \)
Back
\( x^{20} \) (using the power to a power rule)
5.
FLASHCARD QUESTION
Front
Simplify: \( (2x^3y)^6 \)
Back
\( 64x^{18}y^6 \) (distributing the exponent to all terms inside the parenthesis)
6.
FLASHCARD QUESTION
Front
What is the power to a power rule in exponents?
Back
When raising a power to another power, multiply the exponents.
7.
FLASHCARD QUESTION
Front
If \( a^m \) is raised to the power of \( n \), what is the result?
Back
\( (a^m)^n = a^{m imes n} \)
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