Evaluate 2/(5(32)^(3/5))

$\frac{2}{5 {(32)}^{\frac{3}{5}}}$

Simplify the denominator.

Rewrite $32$ as $2^{5}$ .

$\frac{2}{5 \cdot {(2^{5})}^{\frac{3}{5}}}$

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

$\frac{2}{5 \cdot 2^{5 (\frac{3}{5})}}$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{2}{5 \cdot 2^{5 (\frac{3}{5})}}$

Rewrite the expression.

$\frac{2}{5 \cdot 2^{3}}$

Raise $2$ to the power of $3$ .

$\frac{2}{5 \cdot 8}$

Reduce the expression by cancelling the common factors.

Multiply $5$ by $8$ .

$\frac{2}{40}$

Cancel the common factor of $2$ and $40$ .

Factor $2$ out of $2$ .

$\frac{2 (1)}{40}$

Cancel the common factors.

Factor $2$ out of $40$ .

$\frac{2 \cdot 1}{2 \cdot 20}$

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 20}$

Rewrite the expression.

$\frac{1}{20}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{20}$

Decimal Form:

$0.05$