Question

How do I get the answer

Answer 1

`81x^4`

Explanation:

Given:
`\sqrt[3]{(27x^3)^(4) }`

What we can do is rewrite the root as

`\sqrt[3]{27x^3} ^4`

Then, calculate the cube root:

`\sqrt[3]{27} = 3\\\sqrt[3]{x^3} =x`

We then get

`(3x)^4`

Distribute the fourth power into the expression

`(3)^4=81`

`(x)^4=x^4`

Final Answer

`81x^4`