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

Explanation:

Step1: Apply negative - exponent rule

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

Step2: Calculate $3^{3}$

$3^{3}=3\times3\times3 = 27$.

Step3: Get the final result

Since $3^{-3}=\frac{1}{3^{3}}$ and $3^{3}=27$, then $3^{-3}=\frac{1}{27}$.

Answer:

$\frac{1}{27}$