Question

Which is equivalent to 16 Superscript three-fourths x?

RootIndex 4 StartRoot 16 EndRoot Superscript 3 x
RootIndex 4 x StartRoot 16 EndRoot cubed
RootIndex 3 StartRoot 16 EndRoot Superscript 4 x
RootIndex 3 x StartRoot 16 EndRoot Superscript 4

Answer 1

A

Explanation:

edg review 2020

Answer 2

Option A

Explanation:

We want to find an expression that is equivalent to

`{16}^{ (3)/(4)x }`

Recall that:

`{a}^{ (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}^{ (3x)/(4) } = \sqrt[4]{ {16}^(3x) } = (\sqrt[4]{ {16} })^(3x)`

The first choice is correct.