Question

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

Answer 1

Answer:

$-24\cdot x^{7}$

Step-by-step 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 $-24\cdot x^{7}$.

Answer 2

I hope this helps you