Simplify (6^(1/4))^3

${(6^{\frac{1}{4}})}^{3}$

Step 1

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

$6^{\frac{1}{4} \cdot 3}$

Step 2

Combine $\frac{1}{4}$ and $3$ .

$6^{\frac{3}{4}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$6^{\frac{3}{4}}$

Decimal Form:

$3.83365862 \dots$