Precalculus Examples

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

Step 1

Rewrite using the commutative property of multiplication.

$3 \cdot 4 y^{2} y^{5}$

Step 2

Multiply $y^{2}$ by $y^{5}$ by adding the exponents.

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Step 2.1

Move $y^{5}$ .

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

Step 2.2

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

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

Step 2.3

Add $5$ and $2$ .

$3 \cdot 4 y^{7}$

Step 3

Multiply $3$ by $4$ .

$12 y^{7}$