Exponential Rules (warmup for 4.1)

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Mathematics
•
7th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the quotient rule for exponents?
Back
When dividing two expressions with the same base, subtract the exponent of the denominator from the exponent of the numerator: a^m / a^n = a^(m-n).
2.
FLASHCARD QUESTION
Front
How do you simplify a negative exponent?
Back
A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).
3.
FLASHCARD QUESTION
Front
What is the value of any non-zero number raised to the zero power?
Back
Any non-zero number raised to the zero power is equal to 1: a^0 = 1 (where a ≠ 0).
4.
FLASHCARD QUESTION
Front
What happens to the exponents when multiplying two expressions with the same base?
Back
When multiplying two expressions with the same base, you add the exponents: a^m * a^n = a^(m+n).
5.
FLASHCARD QUESTION
Front
What is the simplified form of 4^(-2)?
Back
4^(-2) simplifies to 1/16.
6.
FLASHCARD QUESTION
Front
If a^m = a^n, what can we conclude about m and n?
Back
If a^m = a^n, then m must equal n, provided that a is not zero.
7.
FLASHCARD QUESTION
Front
What is the product rule for exponents?
Back
When multiplying two expressions with the same base, add the exponents: a^m * a^n = a^(m+n).
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