Answer:
The answer is 4x
Step-by-step explanation:
[tex] ({64 {x}^{3} })^{ \frac{1}{3} } [/tex]
To solve the expression convert 64 to exponential form
That's
64 = 4³
So we have
[tex]( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } [/tex]
Using the rules of indices
That's
[tex]( { {a}^{x} {b}^{y} })^{z} = {a}^{x \times z} . {b}^{y \times z} [/tex]
So for the above expression we have
[tex]( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } = {4}^{3 \times \frac{1}{3} } . {x}^{3 \times \frac{1}{3} } [/tex]
Simplify the expression
We have the final answer as
4x
Hope this helps you
