Evaluate (2^(2/5))/2

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

Step 1

Move $2^{\frac{2}{5}}$ to the denominator using the negative exponent rule $b^{n} = \frac{1}{b^{- n}}$ .

$\frac{1}{2 \cdot 2^{- \frac{2}{5}}}$

Step 2

Multiply $2$ by $2^{- \frac{2}{5}}$ by adding the exponents.

Multiply $2$ by $2^{- \frac{2}{5}}$ .

Raise $2$ to the power of $1$ .

$\frac{1}{2^{1} \cdot 2^{- \frac{2}{5}}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{1}{2^{1 - \frac{2}{5}}}$

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

$\frac{1}{2^{\frac{5}{5} - \frac{2}{5}}}$

Combine the numerators over the common denominator.

$\frac{1}{2^{\frac{5 - 2}{5}}}$

Subtract $2$ from $5$ .

$\frac{1}{2^{\frac{3}{5}}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2^{\frac{3}{5}}}$

Decimal Form:

$0.65975395 \dots$