Exponent Properties

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the product of powers property?
Back
When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).
2.
FLASHCARD QUESTION
Front
What is the power of a power property?
Back
When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).
3.
FLASHCARD QUESTION
Front
What is the power of a product property?
Back
When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.
4.
FLASHCARD QUESTION
Front
What is the power of a quotient property?
Back
When raising a quotient to a power, apply the exponent to both the numerator and denominator: (a/b)^n = a^n / b^n.
5.
FLASHCARD QUESTION
Front
What is the zero exponent property?
Back
Any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).
6.
FLASHCARD QUESTION
Front
What is the negative exponent property?
Back
A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/a^n.
7.
FLASHCARD QUESTION
Front
Simplify: a^5 * a^3
Back
a^(5+3) = a^8.
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