Question

Need help solving this equation

Answer 1

Answer:

The answer is 4x

Step-by-step explanation:

$({64 {x}^{3} })^{ \frac{1}{3} }$

To solve the expression convert 64 to exponential form

That's

64 = 4³

So we have

$( { {4}^{3} {x}^{3} })^{ \frac{1}{3} }$

Using the rules of indices

That's

$( { {a}^{x} {b}^{y} })^{z} = {a}^{x \times z} . {b}^{y \times z}$

So for the above expression we have

$( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } = {4}^{3 \times \frac{1}{3} } . {x}^{3 \times \frac{1}{3} }$

Simplify the expression

We have the final answer as

4x

Hope this helps you