Basic Math Examples

$n^{4} {(m^{7} n)}^{3}$

Step 1

Apply the product rule to $m^{7} n$ .

$n^{4} ({(m^{7})}^{3} n^{3})$

Step 2

Multiply $n^{4}$ by $n^{3}$ by adding the exponents.

Tap for more steps...

Step 2.1

Move $n^{3}$ .

$n^{3} n^{4} {(m^{7})}^{3}$

Step 2.2

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

$n^{3 + 4} {(m^{7})}^{3}$

Step 2.3

Add $3$ and $4$ .

$n^{7} {(m^{7})}^{3}$

Step 3

Multiply the exponents in ${(m^{7})}^{3}$ .

Tap for more steps...

Step 3.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$n^{7} m^{7 \cdot 3}$

Step 3.2

Multiply $7$ by $3$ .

$n^{7} m^{21}$