Question

rewrite the following without an exponent. \\(\frac{1}{4^{-3}}\\)

Explanation:

Step1: Recall the negative exponent rule

The negative exponent rule states that $a^{-n}=\frac{1}{a^{n}}$ (or equivalently $\frac{1}{a^{-n}} = a^{n}$ for $a
eq0$ and $n$ is an integer). So for $\frac{1}{4^{-3}}$, we can use the rule $\frac{1}{a^{-n}}=a^{n}$. Here, $a = 4$ and $n=3$.

Step2: Apply the rule and calculate $4^{3}$

We know that $4^{3}=4\times4\times4$. Calculating that, $4\times4 = 16$ and $16\times4=64$.

Answer:

64