Simplify (16x)^(1/4)

${(16 x)}^{\frac{1}{4}}$

Step 1

Simplify the expression.

Apply the product rule to $16 x$ .

$16^{\frac{1}{4}} x^{\frac{1}{4}}$

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

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

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

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

Step 2

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

$2^{1} x^{\frac{1}{4}}$

Step 3

Evaluate the exponent.

$2 x^{\frac{1}{4}}$