Question

Write the product in simplest form: 3w^4 * (-5w^2)

Answer 1

$3w^{4} (-5w^{2} ) = -15w^{6}$

I think this is what you want? When multiplying with exponents, you either add or multiply the exponents.

When you multiply the exponent:

(x²)³ = $x^{6}$

$(3x^{4} )^{2}$ = 9$x^{8}$

When you add the exponents:

(x²)(x³) = $x^{5}$

(x²)(x²) = $x^{4}$

$(x^{4} )(x^{3} ) = x^{7}$