Answer:
The answer is 4x
Explanation:
![({64 {x}^(3) })^{ (1)/(3) }](https://img.qammunity.org/2021/formulas/mathematics/high-school/yizfw1ogg7sm4nkdt3ei0jv8gus4winhfg.png)
To solve the expression convert 64 to exponential form
That's
64 = 4³
So we have
![( { {4}^(3) {x}^(3) })^{ (1)/(3) }](https://img.qammunity.org/2021/formulas/mathematics/high-school/h2mi7w3n26xtua3fg11scewq9i5detdw0r.png)
Using the rules of indices
That's
![( { {a}^(x) {b}^(y) })^(z) = {a}^(x * z) . {b}^(y * z)](https://img.qammunity.org/2021/formulas/mathematics/high-school/4ta1slroecbf4dnx334hll2ugpfwtbfc2l.png)
So for the above expression we have
![( { {4}^(3) {x}^(3) })^{ (1)/(3) } = {4}^{3 * (1)/(3) } . {x}^{3 * (1)/(3) }](https://img.qammunity.org/2021/formulas/mathematics/high-school/cur9mzhknbjnm240cf5pbopt5xk9q4ne7q.png)
Simplify the expression
We have the final answer as
4x
Hope this helps you