Question

Express in exponential form: $\frac{81}{625}$

Answer 1

Given

$\frac{81}{625}$

$=\frac{9^2}{{25}^2}$

$=\frac{(3^2{)}^2}{(5^2{)}^2}$

$=\frac{3^4}{5^4}$

$={\left(\frac{3}{5}\right)}^4$