Question

Determine whether 8^2m/8^m2 is equivalent to each of the following expressions.
82m- 8m²
8m²-2m
82m-m²
64m-m²
Equivalent Not equivalent

Answer 1

By power properties the exponential expression $\frac{8^{2\cdot m}}{8^{m^{2}}}$ is only equivalent to $8^{2\cdot m-m^{2}}$. (Correct choice: A)

What expression is equivalent to a exponential function?

In this question we must apply power properties to prove if a given expression have at least one equivalent. Now we proceed to show alternative forms:

$\frac{8^{2\cdot m}}{8^{m^{2}}}$

$8^{2\cdot m-m^{2}}$

By power properties the exponential expression $\frac{8^{2\cdot m}}{8^{m^{2}}}$ is only equivalent to $8^{2\cdot m-m^{2}}$. (Correct choice: A)

To learn more on power functions: https://brainly.com/question/12431044

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