Question

(Laws of Exponents with Integer Exponents MC)

What is the value of the quantity negative one half cubed all raised to the power of negative 3?

−512
−1
1
512

Answer 1

A) -512

Explanation:

(-1/2)^3^-3 = (1/(-1/2)^3)^3 {a^-n = 1/a^n}

(1/(-1/8))^3 = (1^3 / (-1/8)^3) {(a/b)^n = a^n / b^n}

1 / (-1/512) = -512