Question

Find the product.
(-2x^2)^3 * 3x

Answer 1

I hope this helps you

Answer 2

`-24\cdot x^(7)`

Explanation:

We have been given an expression
`(-2x^2)^3\cdot3x`. We are asked to find the product of our given expression.

Using exponent property
`(a^b)^c=a^(b\cdot c)`, we will get:

`(-2x^2)^3\cdot 3x=-2^3\cdot x^(2\cdot 3)\cdot3x`

`(-2x^2)^3\cdot 3x=-8\cdot x^(6)\cdot 3x`

`(-2x^2)^3\cdot 3x=-8\cdot 3\cdot x^(6)\cdot x`

`(-2x^2)^3\cdot 3x=-24\cdot x^(6)\cdot x`

Using exponent property
`a^b\cdot a^c=a^(b+c)`, we will get:

`(-2x^2)^3\cdot 3x=-24\cdot x^(6+1)`

`(-2x^2)^3\cdot 3x=-24\cdot x^(7)`

Therefore, the product of our given expression would be
`-24\cdot x^(7)`.