Basic Math Examples

$9 z^{3} \cdot (4 z^{2})$

Step 1

Rewrite using the commutative property of multiplication.

$9 \cdot 4 z^{3} z^{2}$

Step 2

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

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Step 2.1

Move $z^{2}$ .

$9 \cdot 4 (z^{2} z^{3})$

Step 2.2

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

$9 \cdot 4 z^{2 + 3}$

Step 2.3

Add $2$ and $3$ .

$9 \cdot 4 z^{5}$

Step 3

Multiply $9$ by $4$ .

$36 z^{5}$