Finite Math Examples

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

Step 1

Simplify and reorder the polynomial.

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Step 1.1

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

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Step 1.1.1

Move $x$ .

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

Step 1.1.2

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

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Step 1.1.2.1

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

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

Step 1.1.2.2

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

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

Step 1.1.3

Add $1$ and $4$ .

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

Step 1.2

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

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Step 1.2.1

Move $y^{3}$ .

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

Step 1.2.2

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

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

Step 1.2.3

Add $3$ and $2$ .

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

Step 1.3

Multiply $2$ by $3$ .

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

Step 2

The largest exponent is the degree of the polynomial.

$10$