Question

rewrite the following without an exponent. 3⁻³

Explanation:

Step1: Recall the negative exponent rule

The negative exponent rule states that \(a^{-n}=\frac{1}{a^{n}}\) for any non - zero number \(a\) and positive integer \(n\). For \(a = 3\) and \(n=3\), we have \(3^{-3}=\frac{1}{3^{3}}\).

Step2: Calculate \(3^{3}\)

We know that \(3^{3}=3\times3\times3 = 27\). So, \(\frac{1}{3^{3}}=\frac{1}{27}\).

Answer:

\(\frac{1}{27}\)