rewrite the following without an exponent.\n2^{-3}

Explanation:

Step1: Recall negative - exponent rule

A negative exponent $a^{-n}=\frac{1}{a^{n}}$. For $2^{-3}$, we have $a = 2$ and $n = 3$. So $2^{-3}=\frac{1}{2^{3}}$.

Step2: Calculate $2^{3}$

$2^{3}=2\times2\times2 = 8$.

Step3: Substitute $2^{3}$ value

Since $2^{3}=8$, then $\frac{1}{2^{3}}=\frac{1}{8}$.

Answer:

$\frac{1}{8}$