Multiplication Properties of Exponents
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
Standards-aligned
Wayground Content
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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 expressions 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
How do you simplify (2x^3y)^6?
Back
You apply the power of a product property: (ab)^n = a^n * b^n. Thus, (2^6)(x^(3*6))(y^6) = 64x^18y^6.
3.
FLASHCARD QUESTION
Front
What is the sum of exponents property of exponents?
Back
When multiplying like bases, you add the exponents. For example, a^m * a^n = a^(m+n).
Tags
CCSS.8.EE.A.1
4.
FLASHCARD QUESTION
Front
How do you simplify a^2(a^3)(a^6)?
Back
You add the exponents: a^(2+3+6) = a^11.
Tags
CCSS.8.EE.A.1
5.
FLASHCARD QUESTION
Front
What is the product of powers property when applied to (9w^2x^8)(w^6x^4)?
Back
You add the exponents for like bases: 9w^(2+6)x^(8+4) = 9w^8x^12.
Tags
CCSS.8.EE.A.1
6.
FLASHCARD QUESTION
Front
How do you simplify (6cd^5)(5c^5d^2)?
Back
Multiply the coefficients and add the exponents for like bases: 6*5 = 30, c^(1+5) = c^6, d^(5+2) = d^7, resulting in 30c^6d^7.
Tags
CCSS.8.EE.A.1
7.
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
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