Algebra Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

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

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Step 2.1.1

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

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

Step 2.1.2

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

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

Step 2.2

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

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

Step 2.3

Combine the numerators over the common denominator.

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

Step 2.4

Subtract $1$ from $5$ .

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