Simplify (5^(1/5))/5

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

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

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

Multiply $5$ by $5^{- \frac{1}{5}}$ by adding the exponents.

Multiply $5$ by $5^{- \frac{1}{5}}$ .

Raise $5$ to the power of $1$ .

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

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

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

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

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

Combine the numerators over the common denominator.

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

Subtract $1$ from $5$ .

$\frac{1}{5^{\frac{4}{5}}}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{5^{\frac{4}{5}}}$

Decimal Form:

$0.27594593 \dots$