Question

What is the product? (4x)(-3x^8)(-7x^3)

Answer 1

Answer:

84x¹²

Step-by-step explanation:

To simplify this expression, we work from left to right:

4x(-3x⁸)(-7x³)

Multiplying the coefficients of the first two, we have 4(-3) = -12.  Using the laws of exponents, multiplying powers with the same base means we add the exponents; this gives us x(x⁸) = x¹⁺⁸ = x⁹.  This gives us

-12x⁹(-7x³)

Multiplying the coefficients, we have -12(-7) = 84.  Using the laws of exponents, for the variable we have x⁹(x³) = x⁹⁺³ = x¹²

This gives us

84x¹²