Pre-Algebra Examples

$\frac{x^{3} y^{3}}{{(x y)}^{- 2}}$

Step 1

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

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

Step 2

Apply the product rule to $x y$ .

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

Step 3

Multiply $x^{3}$ by $x^{2}$ by adding the exponents.

Tap for more steps...

Step 3.1

Move $x^{2}$ .

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

Step 3.2

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

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

Step 3.3

Add $2$ and $3$ .

$x^{5} y^{3} y^{2}$

Step 4

Multiply $y^{3}$ by $y^{2}$ by adding the exponents.

Tap for more steps...

Step 4.1

Move $y^{2}$ .

$x^{5} (y^{2} y^{3})$

Step 4.2

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

$x^{5} y^{2 + 3}$

Step 4.3

Add $2$ and $3$ .

$x^{5} y^{5}$