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writing: use a property of exponents to write (2m)^4 as a product of po…

Question

writing: use a property of exponents to write (2m)^4 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 mean? choose the correct answer below. a. (2m)^4 = 2^4 m^4 b. (2m)^4 = 2^4 m^5 c. (2m)^4 = 2^5 m^5 d. (2m)^4 = 2m^4

Explanation:

Step1: Apply power - of - a - product property

The power - of - a - product property states that $(ab)^n=a^n\times b^n$. For $(2m)^4$, where $a = 2$, $b=m$ and $n = 4$, we have $(2m)^4=2^4\times m^4$.

Answer:

A. $(2m)^4=2^4m^4$