Question

rewrite the following without an exponent.
$3^{-3}$

Explanation:

Step1: Recall negative exponent rule

The rule for negative exponents is $a^{-n} = \frac{1}{a^{n}}$ (where $a
eq0$ and $n$ is a positive integer). For $3^{-3}$, we apply this rule. So, $3^{-3}=\frac{1}{3^{3}}$.

Step2: Calculate $3^{3}$

$3^{3}$ means $3\times3\times3$. Calculating that, $3\times3 = 9$ and $9\times3 = 27$. So, $3^{3}=27$.

Step3: Substitute back

Substituting $3^{3}=27$ into $\frac{1}{3^{3}}$, we get $\frac{1}{27}$.

Answer:

$\frac{1}{27}$