Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

evaluate. write your answer as a fraction or whole number without expon…

Question

evaluate. write your answer as a fraction or whole number without exponents. 6^{-1} =

Explanation:

Step1: Apply negative - exponent rule

The negative - exponent rule states that $a^{-n}=\frac{1}{a^{n}}$. For $a = 6$ and $n = 1$, we have $6^{-1}=\frac{1}{6^{1}}$.

Step2: Simplify the expression

Since $6^{1}=6$, then $\frac{1}{6^{1}}=\frac{1}{6}$.

Answer:

$\frac{1}{6}$