
Exponents Multiplying, Dividing, Power to Power
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the product of two exponents with the same base?
Back
When multiplying two exponents with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).
2.
FLASHCARD QUESTION
Front
What is the quotient of two exponents with the same base?
Back
When dividing two exponents with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).
3.
FLASHCARD QUESTION
Front
What is the power of a power rule in exponents?
Back
When raising an exponent to another exponent, you multiply the exponents. For example, (a^m)^n = a^(m*n).
4.
FLASHCARD QUESTION
Front
How do you simplify the expression (2x^2y^3)(-4xy)^2?
Back
First, simplify (-4xy)^2 to get 16x^2y^2. Then multiply: (2x^2y^3)(16x^2y^2) = 32x^(2+2)y^(3+2) = 32x^4y^5.
5.
FLASHCARD QUESTION
Front
What is the simplified form of (7a^2)(5a^6b)^2?
Back
First, simplify (5a^6b)^2 to get 25a^{12}b^2. Then multiply: (7a^2)(25a^{12}b^2) = 175a^(2+12)b^2 = 175a^14b^2.
6.
FLASHCARD QUESTION
Front
What does it mean to raise a product to a power?
Back
When raising a product to a power, you raise each factor in the product to that power. For example, (ab)^n = a^n * b^n.
7.
FLASHCARD QUESTION
Front
What is the value of 2^2?
Back
2^2 = 4.
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