Basic Math Examples

$\frac{a \cdot 8}{3} \cdot \frac{a \cdot 5}{6}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $a \cdot 8$ .

$\frac{2 (a \cdot 4)}{3} \cdot \frac{a \cdot 5}{6}$

Step 1.2

Factor $2$ out of $6$ .

$\frac{2 (a \cdot 4)}{3} \cdot \frac{a \cdot 5}{2 (3)}$

Step 1.3

Cancel the common factor.

$\frac{2 (a \cdot 4)}{3} \cdot \frac{a \cdot 5}{2 \cdot 3}$

Step 1.4

Rewrite the expression.

$\frac{a \cdot 4}{3} \cdot \frac{a \cdot 5}{3}$

Step 2

Multiply $\frac{a \cdot 4}{3}$ by $\frac{a \cdot 5}{3}$ .

$\frac{a \cdot 4 (a \cdot 5)}{3 \cdot 3}$

Step 3

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

$\frac{4 (a^{1} a \cdot 5)}{3 \cdot 3}$

Step 4

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

$\frac{4 (a^{1} a^{1} \cdot 5)}{3 \cdot 3}$

Step 5

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

$\frac{4 (a^{1 + 1} \cdot 5)}{3 \cdot 3}$

Step 6

Add $1$ and $1$ .

$\frac{4 (a^{2} \cdot 5)}{3 \cdot 3}$

Step 7

Multiply $5$ by $4$ .

$\frac{20 a^{2}}{3 \cdot 3}$

Step 8

Multiply $3$ by $3$ .

$\frac{20 a^{2}}{9}$