Basic Math Examples

$a^{3} b^{7} \cdot (- 3 a^{2} b c^{6}) \cdot (- 2 a^{5} c^{3})$

Step 1

Remove unnecessary parentheses.

$a^{3} b^{7} \cdot - 3 a^{2} b c^{6} \cdot - 2 a^{5} c^{3}$

Step 2

Combine exponents.

Tap for more steps...

Step 2.1

Multiply $a^{3}$ by $a^{2}$ by adding the exponents.

Tap for more steps...

Step 2.1.1

Move $a^{2}$ .

$a^{2} a^{3} b^{7} \cdot - 3 b c^{6} \cdot - 2 a^{5} c^{3}$

Step 2.1.2

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

$a^{2 + 3} b^{7} \cdot - 3 b c^{6} \cdot - 2 a^{5} c^{3}$

Step 2.1.3

Add $2$ and $3$ .

$a^{5} b^{7} \cdot - 3 b c^{6} \cdot - 2 a^{5} c^{3}$

Step 2.2

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

$a^{5} \cdot - 3 (b^{7} b^{1}) c^{6} \cdot - 2 a^{5} c^{3}$

Step 2.3

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

$a^{5} \cdot - 3 b^{7 + 1} c^{6} \cdot - 2 a^{5} c^{3}$

Step 2.4

Add $7$ and $1$ .

$a^{5} \cdot - 3 b^{8} c^{6} \cdot - 2 a^{5} c^{3}$

Step 2.5

Multiply $- 2$ by $- 3$ .

$a^{5} \cdot 6 b^{8} c^{6} a^{5} c^{3}$

Step 2.6

Multiply $a^{5}$ by $a^{5}$ by adding the exponents.

Tap for more steps...

Step 2.6.1

Move $a^{5}$ .

$a^{5} a^{5} \cdot 6 b^{8} c^{6} c^{3}$

Step 2.6.2

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

$a^{5 + 5} \cdot 6 b^{8} c^{6} c^{3}$

Step 2.6.3

Add $5$ and $5$ .

$a^{10} \cdot 6 b^{8} c^{6} c^{3}$

Step 2.7

Multiply $c^{6}$ by $c^{3}$ by adding the exponents.

Tap for more steps...

Step 2.7.1

Move $c^{3}$ .

$a^{10} \cdot 6 b^{8} (c^{3} c^{6})$

Step 2.7.2

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

$a^{10} \cdot 6 b^{8} c^{3 + 6}$

Step 2.7.3

Add $3$ and $6$ .

$a^{10} \cdot 6 b^{8} c^{9}$