Algebra Examples

$\frac{x^{2} y}{y^{- 2}}$

Step 1

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

$x^{2} y \cdot y^{2}$

Step 2

Multiply $y$ by $y^{2}$ by adding the exponents.

Tap for more steps...

Step 2.1

Move $y^{2}$ .

$x^{2} (y^{2} y)$

Step 2.2

Multiply $y^{2}$ by $y$ .

Tap for more steps...

Step 2.2.1

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

$x^{2} (y^{2} y^{1})$

Step 2.2.2

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

$x^{2} y^{2 + 1}$

Step 2.3

Add $2$ and $1$ .

$x^{2} y^{3}$