Question

evaluate. write your answer as a fraction or whole number without exponents. ($\frac{1}{8}$)^{-3}=

Explanation:

Step1: Apply negative - exponent rule

$(\frac{1}{8})^{-3}=\frac{1}{(\frac{1}{8})^{3}}$ (by the rule $a^{-n}=\frac{1}{a^{n}}$), and also $(\frac{1}{8})^{-3}=8^{3}$ (since $\frac{1}{(\frac{1}{8})^{3}} = 8^{3}$).

Step2: Calculate $8^{3}$

$8^{3}=8\times8\times8 = 512$

Answer:

$512$