Simplify (2a^(1/4))^3

${(2 a^{\frac{1}{4}})}^{3}$

Step 1

Apply the product rule to $2 a^{\frac{1}{4}}$ .

$2^{3} {(a^{\frac{1}{4}})}^{3}$

Step 2

Raise $2$ to the power of $3$ .

$8 {(a^{\frac{1}{4}})}^{3}$

Step 3

Multiply the exponents in ${(a^{\frac{1}{4}})}^{3}$ .

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

$8 a^{\frac{1}{4} \cdot 3}$

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

$8 a^{\frac{3}{4}}$