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

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

Write $1$ as a fraction with a common denominator.

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

Combine the numerators over the common denominator.

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

Add $1$ and $2$ .

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

Apply the product rule to $\frac{1}{3}$ .

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

One to any power is one.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.19245008 \dots$