Simplify (8x)^(1/3)

${(8 x)}^{\frac{1}{3}}$

Step 1

Simplify the expression.

Apply the product rule to $8 x$ .

$8^{\frac{1}{3}} x^{\frac{1}{3}}$

Rewrite $8$ as $2^{3}$ .

${(2^{3})}^{\frac{1}{3}} x^{\frac{1}{3}}$

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

$2^{3 (\frac{1}{3})} x^{\frac{1}{3}}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$2^{3 (\frac{1}{3})} x^{\frac{1}{3}}$

Rewrite the expression.

$2^{1} x^{\frac{1}{3}}$

Step 3

Evaluate the exponent.

$2 x^{\frac{1}{3}}$