Precalculus Examples

$y^{9} \cdot y^{6} \cdot y^{2}$

Step 1

Multiply $y^{9}$ by $y^{6}$ by adding the exponents.

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Step 1.1

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

$y^{9 + 6} \cdot y^{2}$

Step 1.2

Add $9$ and $6$ .

$y^{15} \cdot y^{2}$

Step 2

Multiply $y^{15}$ by $y^{2}$ by adding the exponents.

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Step 2.1

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

$y^{15 + 2}$

Step 2.2

Add $15$ and $2$ .

$y^{17}$