Question

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

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:

\(\frac{1}{81}\)