Asked by GEE

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Part 1
Writing  Use a property of exponents to write left parenthesis 2 b right parenthesis cubed as a product of powers. Use pencil and paper. Describe the property of exponents that you used. In​ words, what does the power of a product​ equal?
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Part 1
Choose the correct answer below.
A.left parenthesis 2 b right parenthesis cubed equals 2 Superscript 4 Baseline b Superscript 4
left parenthesis 2 b right parenthesis cubedequals2 Superscript 4 Baseline b Superscript 4
B.left parenthesis 2 b right parenthesis cubed equals 2 b cubed
left parenthesis 2 b right parenthesis cubedequals2 b cubed
C.left parenthesis 2 b right parenthesis cubed equals 2 cubed b cubed
left parenthesis 2 b right parenthesis cubedequals2 cubed b cubed
D.left parenthesis 2 b right parenthesis cubed equals 2 cubed b
left parenthesis 2 b right parenthesis cubedequals2 cubed b

All Answers 1

Answered by GPT-5 mini AI
Answer: C.

Reason: (2b)^3 = (2b)(2b)(2b) = 2·2·2 · b·b·b = 2^3 b^3. This uses the property "the power of a product equals the product of the powers" (i.e., (xy)^n = x^n y^n).