Precalculus Examples

$(12 x^{3} y^{3}) (6 x^{4} y^{6})$

Step 1

Multiply $x^{3}$ by $x^{4}$ by adding the exponents.

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Step 1.1

Move $x^{4}$ .

$12 (x^{4} x^{3}) y^{3} (6 y^{6})$

Step 1.2

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

$12 x^{4 + 3} y^{3} (6 y^{6})$

Step 1.3

Add $4$ and $3$ .

$12 x^{7} y^{3} (6 y^{6})$

Step 2

Multiply $y^{3}$ by $y^{6}$ by adding the exponents.

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Step 2.1

Move $y^{6}$ .

$12 x^{7} (y^{6} y^{3}) \cdot 6$

Step 2.2

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

$12 x^{7} y^{6 + 3} \cdot 6$

Step 2.3

Add $6$ and $3$ .

$12 x^{7} y^{9} \cdot 6$

Step 3

Multiply $6$ by $12$ .

$72 x^{7} y^{9}$