Algebra Examples

$(3 x^{3} y^{2}) (- 6 y^{5})$

Step 1

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

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Step 1.1

Move $y^{5}$ .

$3 x^{3} (y^{5} y^{2}) \cdot - 6$

Step 1.2

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

$3 x^{3} y^{5 + 2} \cdot - 6$

Step 1.3

Add $5$ and $2$ .

$3 x^{3} y^{7} \cdot - 6$

Step 2

Multiply $- 6$ by $3$ .

$- 18 x^{3} y^{7}$