Question

evaluate. write your answer as a fraction or whole number without exponents. 2^{-3} =

Explanation:

Step1: Apply negative - exponent rule

The negative - exponent rule states that $a^{-n}=\frac{1}{a^{n}}$. 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: Find the final result

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

Answer:

$\frac{1}{8}$