Question

Solve `(2x)^6` ?

Thanks:)

Answer 1

See below.

Explanation:

`(2x)^6` can be rewritten as `2x xx 2x xx 2x xx 2x xx 2x xx 2x`. Here is the solution process for simplifying further:

`2x xx 2x xx 2x xx 2x xx 2x xx 2x`

`2 xx 2 xx 2 xx 2 xx 2 xx 2 xx x xx x xx x xx x xx x xx x`

`(2 xx 2 xx 2 xx 2 xx 2 xx 2) xx (x xx x xx x xx x xx x xx x)`

`(4xx4xx4)xx x^6`

`(64)xx x^6`

`color(blue)(64x^6`

I hope that helps!

Answer 2

`64x^6`

Explanation:

We can break apart `2x^6` into the following:

`2^6`, which is `64` (same as `2*2*2*2*2*2`)
`(x)^6`, which is still `x^6`

Therefore, `(2x)^6` is `64x^6`