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

Question

asked Mar 9, 2017 162k views

2 Answers

MattWhilden · Answer 1 · 2017-03-13T13:51:19+0000

Answer:

$-24\cdot x^(7)$

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
$-24\cdot x^(7)$ .