Basic Math Examples

$\frac{x^{- 3} y^{6}}{x^{- 4} y^{4}}$

Step 1

Move $x^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{x^{- 3} y^{6} x^{4}}{y^{4}}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $x^{- 3}$ by $x^{4}$ by adding the exponents.

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Step 2.1.1

Move $x^{4}$ .

$\frac{x^{4} x^{- 3} y^{6}}{y^{4}}$

Step 2.1.2

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

$\frac{x^{4 - 3} y^{6}}{y^{4}}$

Step 2.1.3

Subtract $3$ from $4$ .

$\frac{x^{1} y^{6}}{y^{4}}$

Step 2.2

Simplify $x^{1} y^{6}$ .

$\frac{x y^{6}}{y^{4}}$

Step 3

Cancel the common factor of $y^{6}$ and $y^{4}$ .

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Step 3.1

Factor $y^{4}$ out of $x y^{6}$ .

$\frac{y^{4} (x y^{2})}{y^{4}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Multiply by $1$ .

$\frac{y^{4} (x y^{2})}{y^{4} \cdot 1}$

Step 3.2.2

Cancel the common factor.

$\frac{y^{4} (x y^{2})}{y^{4} \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{x y^{2}}{1}$

Step 3.2.4

Divide $x y^{2}$ by $1$ .

$x y^{2}$