Algebra Examples

$\frac{b^{\frac{9}{4}}}{b^{2}}$

Step 1

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

$b^{\frac{9}{4}} b^{- 2}$

Step 2

Multiply $b^{\frac{9}{4}}$ by $b^{- 2}$ by adding the exponents.

Tap for more steps...

Step 2.1

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

$b^{\frac{9}{4} - 2}$

Step 2.2

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$b^{\frac{9}{4} - 2 \cdot \frac{4}{4}}$

Step 2.3

Combine $- 2$ and $\frac{4}{4}$ .

$b^{\frac{9}{4} + \frac{- 2 \cdot 4}{4}}$

Step 2.4

Combine the numerators over the common denominator.

$b^{\frac{9 - 2 \cdot 4}{4}}$

Step 2.5

Simplify the numerator.

Tap for more steps...

Step 2.5.1

Multiply $- 2$ by $4$ .

$b^{\frac{9 - 8}{4}}$

Step 2.5.2

Subtract $8$ from $9$ .

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