Question

1. evaluate $6^{-2}$. \bigcirc -12 \bigcirc $\frac{1}{36}$ \bigcirc $-\frac{1}{36}$ \bigcirc 4

Explanation:

Step1: Apply negative exponent rule

A negative exponent means taking the reciprocal: $a^{-n} = \frac{1}{a^n}$, so $6^{-2} = \frac{1}{6^2}$

Step2: Calculate the denominator

Compute $6^2 = 6 \times 6 = 36$, so $\frac{1}{6^2} = \frac{1}{36}$

Answer:

$\frac{1}{36}$ (Option: $\boldsymbol{\frac{1}{36}}$)