# If x^(3/4) = 27, what is the value of x?

$x = 81$
Use ${x}^{a b} = {\left({x}^{a}\right)}^{b}$ as follows:
$x = {x}^{1} = {x}^{\frac{3}{4} \cdot \frac{4}{3}} = {\left({x}^{\frac{3}{4}}\right)}^{\frac{4}{3}} = {27}^{\frac{4}{3}}$
$= {\left({3}^{3}\right)}^{\frac{4}{3}} = {3}^{3 \cdot \frac{4}{3}} = {3}^{4} = 81$