Question

Writing  Use a property of exponents to write left parenthesis 4 b right parenthesis squared 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 4 b right parenthesis squared equals 4 cubed b cubed
left parenthesis 4 b right parenthesis squaredequals4 cubed b cubed
B.left parenthesis 4 b right parenthesis squared equals 4 b squared
left parenthesis 4 b right parenthesis squaredequals4 b squared
C.left parenthesis 4 b right parenthesis squared equals 4 squared b squared
left parenthesis 4 b right parenthesis squaredequals4 squared b squared
D.left parenthesis 4 b right parenthesis squared equals 4 squared b
left parenthesis 4 b right parenthesis squaredequals4 squared b

Answer 1

Answer: C. (4b)^2 = 4^2 b^2.

Property used: (ab)^n = a^n b^n — the power of a product equals the product of the powers.
Reason: (4b)^2 = (4b)(4b) = 4·4 · b·b = 4^2 b^2.