What is the product of powers with the same base?
Multiplying Powers with the Same Base

Flashcard
•
Mathematics
•
9th Grade - Professional Development
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Back
When multiplying powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).
2.
FLASHCARD QUESTION
Front
How do you simplify the expression (2a^2b^4z)(6a^3b^2z^5)?
Back
You multiply the coefficients (2*6=12) and add the exponents for like bases: a^(2+3)=a^5, b^(4+2)=b^6, z^(1+5)=z^6. The simplified expression is 12a^5b^6z^6.
3.
FLASHCARD QUESTION
Front
What is the result of simplifying (8yz)(-8y^2z^3)?
Back
Multiply the coefficients (8*-8=-64) and add the exponents for like bases: y^(1+2)=y^3, z^(1+3)=z^4. The result is -64y^3z^4.
4.
FLASHCARD QUESTION
Front
How do you simplify the expression (-5b^3)(-3b^6)?
Back
Multiply the coefficients (-5*-3=15) and add the exponents for like bases: b^(3+6)=b^9. The simplified expression is 15b^9.
5.
FLASHCARD QUESTION
Front
What is the simplified form of x multiplied by itself six times?
Back
x * x * x * x * x * x = x^6.
6.
FLASHCARD QUESTION
Front
How do you rewrite the expression (2^4)(2^5) as a power?
Back
When multiplying powers with the same base, add the exponents: 2^(4+5) = 2^9.
7.
FLASHCARD QUESTION
Front
What is the rule for multiplying powers with different bases?
Back
When multiplying powers with different bases, you cannot combine the exponents. For example, a^m * b^n remains as is.
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