Question

evaluate. write your answer as a fraction or whole number without exponents. 4^(-3) = 1/64

Explanation:

Step1: Recall negative - exponent rule

$a^{-n}=\frac{1}{a^{n}}$
For $4^{-3}$, we have $a = 4$ and $n=3$.

Step2: Calculate $4^{3}$

$4^{3}=4\times4\times4 = 64$

Step3: Apply the negative - exponent rule

$4^{-3}=\frac{1}{4^{3}}=\frac{1}{64}$

Answer:

$\frac{1}{64}$