Basic Math Examples

$\frac{5 a y + y}{2 a} \cdot \frac{y}{6 a}$

Step 1

Factor $y$ out of $5 a y + y$ .

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Step 1.1

Factor $y$ out of $5 a y$ .

$\frac{y (5 a) + y}{2 a} \cdot \frac{y}{6 a}$

Step 1.2

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

$\frac{y (5 a) + y^{1}}{2 a} \cdot \frac{y}{6 a}$

Step 1.3

Factor $y$ out of $y^{1}$ .

$\frac{y (5 a) + y \cdot 1}{2 a} \cdot \frac{y}{6 a}$

Step 1.4

Factor $y$ out of $y (5 a) + y \cdot 1$ .

$\frac{y (5 a + 1)}{2 a} \cdot \frac{y}{6 a}$

Step 2

Multiply $\frac{y (5 a + 1)}{2 a} \cdot \frac{y}{6 a}$ .

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Step 2.1

Multiply $\frac{y (5 a + 1)}{2 a}$ by $\frac{y}{6 a}$ .

$\frac{y (5 a + 1) y}{2 a (6 a)}$

Step 2.2

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

$\frac{y^{1} y (5 a + 1)}{2 a (6 a)}$

Step 2.3

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

$\frac{y^{1} y^{1} (5 a + 1)}{2 a (6 a)}$

Step 2.4

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

$\frac{y^{1 + 1} (5 a + 1)}{2 a (6 a)}$

Step 2.5

Add $1$ and $1$ .

$\frac{y^{2} (5 a + 1)}{2 a (6 a)}$

Step 2.6

Multiply $6$ by $2$ .

$\frac{y^{2} (5 a + 1)}{12 a \cdot a}$

Step 2.7

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

$\frac{y^{2} (5 a + 1)}{12 (a^{1} a)}$

Step 2.8

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

$\frac{y^{2} (5 a + 1)}{12 (a^{1} a^{1})}$

Step 2.9

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

$\frac{y^{2} (5 a + 1)}{12 a^{1 + 1}}$

Step 2.10

Add $1$ and $1$ .

$\frac{y^{2} (5 a + 1)}{12 a^{2}}$