Finite Math Examples

$(6 z^{5}) (9 z^{3}) (2 z^{2})$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Multiply $z^{5}$ by $z^{3}$ by adding the exponents.

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Step 1.1.1

Move $z^{3}$ .

$6 (z^{3} z^{5}) \cdot 9 (2 z^{2})$

Step 1.1.2

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

$6 z^{3 + 5} \cdot 9 (2 z^{2})$

Step 1.1.3

Add $3$ and $5$ .

$6 z^{8} \cdot 9 (2 z^{2})$

Step 1.2

Multiply $z^{8}$ by $z^{2}$ by adding the exponents.

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Step 1.2.1

Move $z^{2}$ .

$6 (z^{2} z^{8}) \cdot 9 \cdot 2$

Step 1.2.2

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

$6 z^{2 + 8} \cdot 9 \cdot 2$

Step 1.2.3

Add $2$ and $8$ .

$6 z^{10} \cdot 9 \cdot 2$

Step 1.3

Multiply $9$ by $6$ .

$54 z^{10} \cdot 2$

Step 1.4

Multiply $2$ by $54$ .

$108 z^{10}$

Step 2

The largest exponent is the degree of the polynomial.

$10$