Simplify 2(48/3)^(1/4)

$2 {(\frac{48}{3})}^{\frac{1}{4}}$

Step 1

Simplify the expression.

Divide $48$ by $3$ .

$2 \cdot 16^{\frac{1}{4}}$

Rewrite $16$ as $2^{4}$ .

$2 \cdot {(2^{4})}^{\frac{1}{4}}$

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

$2 \cdot 2^{4 (\frac{1}{4})}$

Step 2

Cancel the common factor of $4$ .

Cancel the common factor.

$2 \cdot 2^{4 (\frac{1}{4})}$

Rewrite the expression.

$2 \cdot 2^{1}$

Step 3

Evaluate the exponent.

$2 \cdot 2$

Step 4

Multiply $2$ by $2$ .

$4$