Algebra Examples

$3 y x^{2} \cdot 3 y^{3}$

Step 1

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

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Step 1.1

Move $y^{3}$ .

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

Step 1.2

Multiply $y^{3}$ by $y$ .

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Step 1.2.1

Raise $y$ to the power of $1$ .

$3 (y^{3} y^{1}) x^{2} \cdot 3$

Step 1.2.2

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

$3 y^{3 + 1} x^{2} \cdot 3$

Step 1.3

Add $3$ and $1$ .

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

Step 2

Multiply $3$ by $3$ .

$9 y^{4} x^{2}$