Exponents Rules

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the rule for dividing exponents with the same base?
Back
When dividing exponents with the same base, subtract the exponent in the denominator from the exponent in the numerator: a^m / a^n = a^(m-n).
2.
FLASHCARD QUESTION
Front
What is the rule for multiplying exponents with the same base?
Back
When multiplying exponents with the same base, add the exponents: a^m ⋅ a^n = a^(m+n).
3.
FLASHCARD QUESTION
Front
What is the power of a power rule?
Back
When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).
4.
FLASHCARD QUESTION
Front
What is the rule for raising a product to a power?
Back
When raising a product to a power, raise each factor to the power: (ab)^n = a^n * b^n.
5.
FLASHCARD QUESTION
Front
What is the rule for raising a quotient to a power?
Back
When raising a quotient to a power, raise both the numerator and the denominator to the power: (a/b)^n = a^n / b^n.
6.
FLASHCARD QUESTION
Front
What is the value of any non-zero number raised to the power of zero?
Back
Any non-zero number raised to the power of zero equals 1: a^0 = 1 (where a ≠ 0).
7.
FLASHCARD QUESTION
Front
What is the value of a negative exponent?
Back
A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/a^n.
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