Simplify the Radical Expression (3x^2)^(2/3)

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

Step 1

Apply the product rule to $3 x^{2}$ .

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

Step 2

Multiply the exponents in ${(x^{2})}^{\frac{2}{3}}$ .

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

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

Multiply $2 (\frac{2}{3})$ .

Combine $2$ and $\frac{2}{3}$ .

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

Multiply $2$ by $2$ .

$3^{\frac{2}{3}} x^{\frac{4}{3}}$