Evaluate (6^(2/3))^(1/2)

${(6^{\frac{2}{3}})}^{\frac{1}{2}}$

Step 1

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

$6^{\frac{2}{3} \cdot \frac{1}{2}}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$6^{\frac{2}{3} \cdot \frac{1}{2}}$

Rewrite the expression.

$6^{\frac{1}{3}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$6^{\frac{1}{3}}$

Decimal Form:

$1.81712059 \dots$