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

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

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

Answer

Explanation:

Step1: Apply negative - exponent rule

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

Step2: Calculate $3^{4}$

$3^{4}=3\times3\times3\times3 = 81$.

Answer:

$\frac{1}{81}$