Evaluate 81^(5/4)

$81^{\frac{5}{4}}$

Step 1

Simplify the expression.

Rewrite $81$ as $3^{4}$ .

${(3^{4})}^{\frac{5}{4}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$3^{4 (\frac{5}{4})}$

Step 2

Cancel the common factor of $4$ .

Cancel the common factor.

$3^{4 (\frac{5}{4})}$

Rewrite the expression.

$3^{5}$

Step 3

Raise $3$ to the power of $5$ .

$243$