Question

Which is equivalent to 16 Superscript three-fourths x?

Answer 1

Answer:

Option A

Step-by-step explanation:

We want to find an expression that is equivalent to

${16}^{ \frac{3}{4}x }$

Recall that:

${a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} }$

We apply this property of exponents to rewrite our expression:

We set a=16, n=4 and m=3x

This implies that:

${16}^{ \frac{3x}{4} } = \sqrt[4]{ {16}^{3x} } = (\sqrt[4]{ {16} })^{3x}$

The first choice is correct.

Answer 2

Answer:

A. f(x) = 2 (RootIndex 3 StartRoot 16 EndRoot) Superscript x