Question

Please Help me answer this.

Answer 1

`x^4`

Explanation:

Given expression:

`\left(\sqrt[3]{x^2}\right)^6`

`\textsf{Apply the exponent rule} \quad \sqrt[n]{a}=a^{(1)/(n)}:`

`\implies \left((x^2)^(1)/(3)}\right)^6`

`\textsf{Apply the exponent rule} \quad (a^b)^c=a^(bc):`

`\implies \left(x^(2)/(3)\right)^6`

`\implies x^(12)/(3)`

Simplify the exponent:

`\implies x^4`