Question

Simplify 2x^2(-3x^2)^3

Answer 1

`-54x^(8)`

Explanation:

`2x^(2) (-3x^(2) )^(3)`

We first carry through the cube.

`-3^(3) x^(2*3)`

`-3^(3)` = -27
`x^(2*3) = x^(6)`

Now we have
`2x^(2) (-27x^(6) )`

2 * - 27 = -54

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

`-54x^(8)`

Answer 2

`-54x^8`

Explanation:

`2x^(2)(-3x^2)^3\\\\2x^2((-3)^3(x^(2*3)))\\\\2x^2(-27x^6)\\\\2(-27)(x^(2+6))\\\\-54x^8`