Algebra Examples

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

Step 1

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

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Step 1.1

Move $y^{2}$ .

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

Step 1.2

Multiply $y^{2}$ by $y$ .

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Step 1.2.1

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

$2 (y^{2} y^{1}) \cdot - 5 \cdot (3 y^{3})$

Step 1.2.2

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

$2 y^{2 + 1} \cdot - 5 \cdot (3 y^{3})$

Step 1.3

Add $2$ and $1$ .

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

Step 2

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

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Step 2.1

Move $y^{3}$ .

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

Step 2.2

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

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

Step 2.3

Add $3$ and $3$ .

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

Step 3

Multiply $- 5$ by $2$ .

$- 10 y^{6} \cdot 3$

Step 4

Multiply $3$ by $- 10$ .

$- 30 y^{6}$