Finite Math Examples

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

Step 1

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

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Step 1.1

Move $x$ .

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

Step 1.2

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

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Step 1.2.1

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

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

Step 1.2.2

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

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

Step 1.3

Add $1$ and $2$ .

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

Step 2

Multiply $x^{3}$ by $x^{2}$ by adding the exponents.

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Step 2.1

Move $x^{2}$ .

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

Step 2.2

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

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

Step 2.3

Add $2$ and $3$ .

$- 3 x^{5} y (2 y^{3}) (4 y^{2})$

Step 3

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

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Step 3.1

Move $y^{3}$ .

$- 3 x^{5} (y^{3} y) \cdot 2 (4 y^{2})$

Step 3.2

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

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Step 3.2.1

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

$- 3 x^{5} (y^{3} y^{1}) \cdot 2 (4 y^{2})$

Step 3.2.2

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

$- 3 x^{5} y^{3 + 1} \cdot 2 (4 y^{2})$

Step 3.3

Add $3$ and $1$ .

$- 3 x^{5} y^{4} \cdot 2 (4 y^{2})$

Step 4

Multiply $y^{4}$ by $y^{2}$ by adding the exponents.

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Step 4.1

Move $y^{2}$ .

$- 3 x^{5} (y^{2} y^{4}) \cdot 2 \cdot 4$

Step 4.2

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

$- 3 x^{5} y^{2 + 4} \cdot 2 \cdot 4$

Step 4.3

Add $2$ and $4$ .

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

Step 5

Multiply $2$ by $- 3$ .

$- 6 x^{5} y^{6} \cdot 4$

Step 6

Multiply $4$ by $- 6$ .

$- 24 x^{5} y^{6}$