Question

What is (-4a^2b)^3?

Answer 1

-64 a^6 b^3

Explanation:

Simplify the following:

(-4 a^2 b)^3

Multiply each exponent in -4 a^2 b by 3:

(-4)^3 a^(3×2) b^3

3×2 = 6:

(-4)^3 a^6 b^3

(-4)^3 = (-1)^3×4^3 = -4^3:

-4^3 a^6 b^3

4^3 = 4×4^2:

-4×4^2 a^6 b^3

4^2 = 16:

-4×16 a^6 b^3

4×16 = 64:

Answer: -64 a^6 b^3