Properties of Exponents

Flashcard
•
Mathematics
•
7th - 10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the product of powers property of exponents?
Back
When multiplying two powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).
Tags
CCSS.8.EE.A.1
2.
FLASHCARD QUESTION
Front
What is the power of a power property of exponents?
Back
When raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).
Tags
CCSS.8.EE.A.1
3.
FLASHCARD QUESTION
Front
What is the quotient of powers property of exponents?
Back
When dividing two powers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).
Tags
CCSS.8.EE.A.1
4.
FLASHCARD QUESTION
Front
What is the zero exponent rule?
Back
Any non-zero base raised to the power of zero equals one. For example, a^0 = 1 (where a ≠ 0).
Tags
CCSS.8.EE.A.1
5.
FLASHCARD QUESTION
Front
What is the negative exponent rule?
Back
A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^(-n) = 1/(a^n).
Tags
CCSS.8.EE.A.1
6.
FLASHCARD QUESTION
Front
How do you simplify the expression (3x^2)(4x^3)?
Back
You multiply the coefficients and add the exponents: 12x^(2+3) = 12x^5.
Tags
CCSS.HSA.APR.A.1
7.
FLASHCARD QUESTION
Front
What happens when you divide x^5 by x^2?
Back
You subtract the exponents: x^(5-2) = x^3.
Tags
CCSS.HSA.APR.A.1
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