Basic Math Examples

$\frac{8 y^{2}}{21} \cdot \frac{4 y}{21}$

Step 1

Combine.

$\frac{8 y^{2} (4 y)}{21 \cdot 21}$

Step 2

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

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Step 2.1

Move $y$ .

$\frac{8 (y \cdot y^{2}) \cdot 4}{21 \cdot 21}$

Step 2.2

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

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Step 2.2.1

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

$\frac{8 (y^{1} y^{2}) \cdot 4}{21 \cdot 21}$

Step 2.2.2

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

$\frac{8 y^{1 + 2} \cdot 4}{21 \cdot 21}$

Step 2.3

Add $1$ and $2$ .

$\frac{8 y^{3} \cdot 4}{21 \cdot 21}$

Step 3

Multiply $4$ by $8$ .

$\frac{32 y^{3}}{21 \cdot 21}$

Step 4

Multiply $21$ by $21$ .

$\frac{32 y^{3}}{441}$