Algebra Examples

$\frac{2}{5 a} \cdot \frac{6}{7 a^{2}}$

Step 1

Combine.

$\frac{2 \cdot 6}{5 a (7 a^{2})}$

Step 2

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

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Step 2.1

Move $a^{2}$ .

$\frac{2 \cdot 6}{5 (a^{2} a) \cdot 7}$

Step 2.2

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

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Step 2.2.1

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

$\frac{2 \cdot 6}{5 (a^{2} a^{1}) \cdot 7}$

Step 2.2.2

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

$\frac{2 \cdot 6}{5 a^{2 + 1} \cdot 7}$

Step 2.3

Add $2$ and $1$ .

$\frac{2 \cdot 6}{5 a^{3} \cdot 7}$

Step 3

Multiply $2$ by $6$ .

$\frac{12}{5 a^{3} \cdot 7}$

Step 4

Multiply $7$ by $5$ .

$\frac{12}{35 a^{3}}$