Algebra Examples

$(- \frac{3}{x^{5} y^{3}}) (\frac{4}{x^{4} y})$

Step 1

Multiply $\frac{4}{x^{4} y}$ by $\frac{3}{x^{5} y^{3}}$ .

$- \frac{4 \cdot 3}{x^{4} y (x^{5} y^{3})}$

Step 2

Multiply $4$ by $3$ .

$- \frac{12}{x^{4} y (x^{5} y^{3})}$

Step 3

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

$- \frac{12}{x^{5 + 4} y \cdot y^{3}}$

Step 4

Add $5$ and $4$ .

$- \frac{12}{x^{9} y \cdot y^{3}}$

Step 5

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

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Step 5.1

Move $y^{3}$ .

$- \frac{12}{x^{9} (y^{3} y)}$

Step 5.2

Multiply $y^{3}$ by $y$ .

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Step 5.2.1

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

$- \frac{12}{x^{9} (y^{3} y^{1})}$

Step 5.2.2

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

$- \frac{12}{x^{9} y^{3 + 1}}$

Step 5.3

Add $3$ and $1$ .

$- \frac{12}{x^{9} y^{4}}$