Evaluate 2/3(0)^(3/2)

$\frac{2}{3} {(0)}^{\frac{3}{2}}$

Simplify the expression.

Rewrite $0$ as $0^{2}$ .

$\frac{2}{3} \cdot {(0^{2})}^{\frac{3}{2}}$

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

$\frac{2}{3} \cdot 0^{2 (\frac{3}{2})}$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2}{3} \cdot 0^{2 (\frac{3}{2})}$

Rewrite the expression.

$\frac{2}{3} \cdot 0^{3}$

Simplify the expression.

Raising $0$ to any positive power yields $0$ .

$\frac{2}{3} \cdot 0$

Multiply $\frac{2}{3}$ by $0$ .

$0$