Question

What is the simplified form of the cube root of x squared times the third root of x squared

Answer 1

Cubert (x^2) * cubert(x^2)=
Since they're both cube roots you can multiply the radicands.
Cube root (x^4)=
x cube root x

Answer 2

`x\sqrt[3]{x}`

Explanation:

`\sqrt[3]{x^2} *\sqrt[3]{x^2}`

Both terms have same cube root so we multiply the terms and put it inside the cube root

Apply exponential property

`a^m * a^n = a^(m+n)`

`x^2* x^2 = x^4`

`\sqrt[3]{x^2} *\sqrt[3]{x^2}=\sqrt[3]{x^4}`

`\sqrt[3]{x^4}=\sqrt[3]{x^3*x^1}=x\sqrt[3]{x}`