Evaluate (b^(1/5))/b

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

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

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

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Subtract $1$ from $5$ .

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