Basic Math Examples

$19 m^{8} n^{8} - 4 m^{5} n (3 m^{3} n^{7})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Multiply $m^{5}$ by $m^{3}$ by adding the exponents.

Tap for more steps...

Step 1.1.1

Move $m^{3}$ .

$19 m^{8} n^{8} - 4 (m^{3} m^{5}) n (3 n^{7})$

Step 1.1.2

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

$19 m^{8} n^{8} - 4 m^{3 + 5} n (3 n^{7})$

Step 1.1.3

Add $3$ and $5$ .

$19 m^{8} n^{8} - 4 m^{8} n (3 n^{7})$

Step 1.2

Multiply $n$ by $n^{7}$ by adding the exponents.

Tap for more steps...

Step 1.2.1

Move $n^{7}$ .

$19 m^{8} n^{8} - 4 m^{8} (n^{7} n) \cdot 3$

Step 1.2.2

Multiply $n^{7}$ by $n$ .

Tap for more steps...

Step 1.2.2.1

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

$19 m^{8} n^{8} - 4 m^{8} (n^{7} n^{1}) \cdot 3$

Step 1.2.2.2

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

$19 m^{8} n^{8} - 4 m^{8} n^{7 + 1} \cdot 3$

Step 1.2.3

Add $7$ and $1$ .

$19 m^{8} n^{8} - 4 m^{8} n^{8} \cdot 3$

Step 1.3

Multiply $3$ by $- 4$ .

$19 m^{8} n^{8} - 12 m^{8} n^{8}$

Step 2

Subtract $12 m^{8} n^{8}$ from $19 m^{8} n^{8}$ .

$7 m^{8} n^{8}$