Basic Math Examples

$\frac{2 x^{- 3} y^{2}}{x^{0} y^{4}}$

Step 1

Move $x^{- 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{2 y^{2}}{x^{0} y^{4} x^{3}}$

Step 2

Multiply $x^{0}$ by $x^{3}$ by adding the exponents.

Tap for more steps...

Step 2.1

Move $x^{3}$ .

$\frac{2 y^{2}}{x^{3} x^{0} y^{4}}$

Step 2.2

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

$\frac{2 y^{2}}{x^{3 + 0} y^{4}}$

Step 2.3

Add $3$ and $0$ .

$\frac{2 y^{2}}{x^{3} y^{4}}$

Step 3

Cancel the common factor of $y^{2}$ and $y^{4}$ .

Tap for more steps...

Step 3.1

Factor $y^{2}$ out of $2 y^{2}$ .

$\frac{y^{2} \cdot 2}{x^{3} y^{4}}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $y^{2}$ out of $x^{3} y^{4}$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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