Basic Math Examples

$\frac{y \cdot 4}{5} \cdot \frac{y \cdot 7}{10}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $y \cdot 4$ .

$\frac{2 (y \cdot 2)}{5} \cdot \frac{y \cdot 7}{10}$

Step 1.2

Factor $2$ out of $10$ .

$\frac{2 (y \cdot 2)}{5} \cdot \frac{y \cdot 7}{2 (5)}$

Step 1.3

Cancel the common factor.

$\frac{2 (y \cdot 2)}{5} \cdot \frac{y \cdot 7}{2 \cdot 5}$

Step 1.4

Rewrite the expression.

$\frac{y \cdot 2}{5} \cdot \frac{y \cdot 7}{5}$

Step 2

Multiply $\frac{y \cdot 2}{5}$ by $\frac{y \cdot 7}{5}$ .

$\frac{y \cdot 2 (y \cdot 7)}{5 \cdot 5}$

Step 3

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

$\frac{2 (y^{1} y \cdot 7)}{5 \cdot 5}$

Step 4

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

$\frac{2 (y^{1} y^{1} \cdot 7)}{5 \cdot 5}$

Step 5

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

$\frac{2 (y^{1 + 1} \cdot 7)}{5 \cdot 5}$

Step 6

Add $1$ and $1$ .

$\frac{2 (y^{2} \cdot 7)}{5 \cdot 5}$

Step 7

Multiply $7$ by $2$ .

$\frac{14 y^{2}}{5 \cdot 5}$

Step 8

Multiply $5$ by $5$ .

$\frac{14 y^{2}}{25}$