Algebra Examples

$(- x y^{3}) (4 x^{2} y)$

Step 1

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

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Step 1.1

Move $x^{2}$ .

$- (x^{2} x) y^{3} (4 y)$

Step 1.2

Multiply $x^{2}$ by $x$ .

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Step 1.2.1

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

$- (x^{2} x^{1}) y^{3} (4 y)$

Step 1.2.2

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

$- x^{2 + 1} y^{3} (4 y)$

Step 1.3

Add $2$ and $1$ .

$- x^{3} y^{3} (4 y)$

Step 2

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

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Step 2.1

Move $y$ .

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

Step 2.2

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

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Step 2.2.1

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

$- x^{3} (y^{1} y^{3}) \cdot 4$

Step 2.2.2

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

$- x^{3} y^{1 + 3} \cdot 4$

Step 2.3

Add $1$ and $3$ .

$- x^{3} y^{4} \cdot 4$

Step 3

Multiply $4$ by $- 1$ .

$- 4 x^{3} y^{4}$