Question

Evaluate the expression.

$\frac{9^4·9^{-2}}{9^2}$

Answer 1

Evaluating the expression

$\frac{9^4·9^{-2}}{9^2}$

$=\frac{9^4·9^{-2}}{9^2}$

$=\frac{9^{4+(-2)}}{9^2}$ (Using exponent law ${\mathrm{a}}^{\mathrm{m}}·{\mathrm{a}}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}+\mathrm{n}}$)

$=\frac{9^2}{9^2}$

$=1$

Hence, the expression is $\frac{9^4·9^{-2}}{9^2}=1$.