Question

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Answer 1

First we rewrite the expression:
 (4x ^ 3) * (2x) ^ - 4
 Using properties of exponents we have:
 (4x ^ 3) / (2x) ^ 4
 Rewriting:
 (4x ^ 3) / 16x ^ 4
 (x ^ 3) / 4x ^ 4
 (1) / (4x)
 answer:
 An equivalent expression is:
 (1) / (4x)
 option 1

Answer 2

Answer:
1 / 4x

Explanation:
(4x^3) * (2x)^-4 = 4x^3 * 2^-4 * x^-4
                         = (4x^3) / (2^4 * x^4)
                         = (1/4) * (1/x)
                         = 1 / 4x

Hope this helps :)