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evaluate. write your answer as a fraction or whole number without expon…

Question

evaluate. write your answer as a fraction or whole number without exponents. 4^{-3} =

Explanation:

Step1: Apply negative - exponent rule

According to the rule $a^{-n}=\frac{1}{a^{n}}$, for $4^{-3}$, we have $4^{-3}=\frac{1}{4^{3}}$.

Step2: Calculate $4^{3}$

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

Answer:

$\frac{1}{64}$