Question

PLEASE HELP!

(-2x^2)^3*3x is -24x^7 but I keep getting -6x^6 so can someone explain to me where I am going wrong?

Answer 1

(-2x^2)^3*3x is -24x^7

exponents first

(-2x^2)^3

(-2)^3 x^(2)^3 (when raised to a power multiply the powers on the exponent)

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

-8 x^6

-8 x^6 * 3x

-8*3 * x^6 *x (when multiplying add the exponents)

-24 x^(6+1)

-24 x^7