evaluate the expression $\frac{3^2}{3^4}$. evaluate the power. $\frac{3^2}{3^4} = 3^{-2} = \frac{1}{3^2} = $
evaluate the expression $\frac{3^2}{3^4}$. evaluate the power. $\frac{3^2}{3^4} = 3^{-2} = \frac{1}{3^2} = $
Answer
Explanation:
Step1: Apply exponent subtraction rule
$\frac{3^2}{3^4} = 3^{2-4} = 3^{-2}$
Step2: Rewrite negative exponent
$3^{-2} = \frac{1}{3^2}$
Step3: Evaluate positive exponent
$\frac{1}{3^2} = \frac{1}{9}$
Answer:
$\frac{1}{9}$