Algebra Examples

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

Step 1

Reduce the expression $\frac{b^{\frac{1}{5}}}{b}$ by cancelling the common factors.

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Step 1.1

Factor $b$ out of $b^{\frac{1}{5}}$ .

$\frac{b \cdot b^{\frac{- 4}{5}}}{b}$

Step 1.2

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

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

Step 1.3

Factor $b$ out of $b^{1}$ .

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

Step 1.4

Cancel the common factor.

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

Step 1.5

Rewrite the expression.

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

Step 2

Divide $b^{\frac{- 4}{5}}$ by $1$ .

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

Step 3

Move the negative in front of the fraction.

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

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 5

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\frac{1}{\sqrt[5]{b^{4}}}$