# How do you simplify (81)^(3/4)?

$27$
$\text{using the "color(blue)"law of exponents}$
•color(white)(x)a^(m/n)=(root(n)a)^m
$\Rightarrow {81}^{\frac{3}{4}} = {\left(\sqrt[4]{81}\right)}^{3} = {3}^{3} = 27$