Question

Simplify the expression. Write your answer as a power.
$\frac{5^2\times 5^9}{5}$

Answer 1

Simplifying the expression,

$\frac{5^2\times 5^9}{5}$

$=\frac{5^{2+9}}{5}$ (Using exponent law ${\mathrm{a}}^{\mathrm{m}}\times {\mathrm{a}}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}+\mathrm{n}}$)

$=\frac{5^{11}}{5}$ (Using exponent law $\frac{{\mathrm{a}}^{\mathrm{m}}}{{\mathrm{a}}^{\mathrm{n}}}={\mathrm{a}}^{\mathrm{m}-\mathrm{n}}$)

$=5^{10}$