Finite Math Examples

$\frac{4 x^{6} y^{4}}{2 x^{3} y^{- 1}}$

Step 1

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

$\frac{4 x^{6} y^{4} y}{2 x^{3}}$

Step 2

Multiply $y^{4}$ by $y$ by adding the exponents.

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Step 2.1

Move $y$ .

$\frac{4 x^{6} (y \cdot y^{4})}{2 x^{3}}$

Step 2.2

Multiply $y$ by $y^{4}$ .

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Step 2.2.1

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

$\frac{4 x^{6} (y^{1} y^{4})}{2 x^{3}}$

Step 2.2.2

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

$\frac{4 x^{6} y^{1 + 4}}{2 x^{3}}$

Step 2.3

Add $1$ and $4$ .

$\frac{4 x^{6} y^{5}}{2 x^{3}}$

Step 3

Cancel the common factor of $4$ and $2$ .

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Step 3.1

Factor $2$ out of $4 x^{6} y^{5}$ .

$\frac{2 (2 x^{6} y^{5})}{2 x^{3}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

$\frac{2 (2 x^{6} y^{5})}{2 (x^{3})}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (2 x^{6} y^{5})}{2 x^{3}}$

Step 3.2.3

Rewrite the expression.

$\frac{2 x^{6} y^{5}}{x^{3}}$

Step 4

Cancel the common factor of $x^{6}$ and $x^{3}$ .

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Step 4.1

Factor $x^{3}$ out of $2 x^{6} y^{5}$ .

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

Multiply by $1$ .

$\frac{x^{3} (2 x^{3} y^{5})}{x^{3} \cdot 1}$

Step 4.2.2

Cancel the common factor.

$\frac{x^{3} (2 x^{3} y^{5})}{x^{3} \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{2 x^{3} y^{5}}{1}$

Step 4.2.4

Divide $2 x^{3} y^{5}$ by $1$ .

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