Question

Which is equivalent to 16 3/4x ?

Answer 1

The answer

the question is not very clear, 
its complement may be Which is equivalent to 16 ^ 3/4x?

-4√16^3x
-4√16^3
-3√16^4x
-3√16^4

perhaps the 16 3/4x should be written as [16 ^ 3] / 4x, or 16 ^  (3 / 4x)  
or - [16 ^  (3 / 4)]  x 

If the question is [16 ^ 3] / 4x, then none of the choices is equivalent to this
if the question is 16 ^  (3 / 4x), it is equivalent to 4x-th root of 16^3

so if the question is - [16 ^  (3 / 4)]  x 
so - [16 ^  (3 / 4)]  x  =( - 4√16^3)x  it is 4th root of 16^3 times x

so the choice is -4√16^3x

Answer 2

Answer:

$\sqrt[4]{16^{3x}}$

Step-by-step explanation:

we have

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

we know that

$16^{\frac{3}{4}x}=(16^{3x})^{\frac{1}{4}}=\sqrt[4]{16^{3x}}$

therefore

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