Question

Please help me with #1Please help me on my hw

Answer 1

The given expression is,

`(2x^2)^3`

According to the law of exponents,

`\begin{gathered} (xy)^m=x^my^m\text{ ---(a)} \\ (x^m)^n=x^(mn)\text{ ---(b)} \end{gathered}`

Applying the law of exponents to the given expression,

`\begin{gathered} (2x^2)^3=2^3(x^2)^3\text{ (using law (a))} \\ =8x^(2*3)\text{ (using law (b))} \\ =8x^6 \end{gathered}`

Therefore, the correct expression is

`(2x^2)^3=8x^6`