Exponent Rules FLASHCARD

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Quotient Rule for exponents?
Back
The Quotient Rule states that when dividing two powers with the same base, you subtract the exponents: \( \frac{a^m}{a^n} = a^{m-n} \).
2.
FLASHCARD QUESTION
Front
What is the Power of a Power Rule for exponents?
Back
The Power of a Power Rule states that when raising a power to another power, you multiply the exponents: \( (a^m)^n = a^{m \cdot n} \).
3.
FLASHCARD QUESTION
Front
What is the Power of a Product Rule for exponents?
Back
The Power of a Product Rule states that when raising a product to a power, you distribute the exponent to each factor: \( (ab)^n = a^n b^n \).
4.
FLASHCARD QUESTION
Front
What is the Power of a Quotient Rule for exponents?
Back
The Power of a Quotient Rule states that when raising a quotient to a power, you distribute the exponent to the numerator and denominator: \( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} \).
5.
FLASHCARD QUESTION
Front
What is the Zero Exponent Rule?
Back
The Zero Exponent Rule states that any non-zero base raised to the power of zero equals one: \( a^0 = 1 \) (where \( a \neq 0 \)).
6.
FLASHCARD QUESTION
Front
What is the value of \((-4)^2\)?
Back
The value of \((-4)^2\) is 16.
7.
FLASHCARD QUESTION
Front
What is the value of any expression raised to the power of zero?
Back
Any expression (except zero) raised to the power of zero equals one: \( a^0 = 1 \) (where \( a \neq 0 \)).
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