Simplify n^4m^3n*m^6

$n^{4} \cdot m^{3} \cdot n \cdot m^{6}$

Step 1

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

Move $n$ .

$n \cdot n^{4} \cdot m^{3} \cdot m^{6}$

Multiply $n$ by $n^{4}$ .

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

$n^{1} n^{4} \cdot m^{3} \cdot m^{6}$

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

$n^{1 + 4} \cdot m^{3} \cdot m^{6}$

Add $1$ and $4$ .

$n^{5} \cdot m^{3} \cdot m^{6}$

Step 2

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

Move $m^{6}$ .

$n^{5} \cdot (m^{6} m^{3})$

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

$n^{5} \cdot m^{6 + 3}$

Add $6$ and $3$ .

$n^{5} \cdot m^{9}$

$n^{5} m^{9}$

Simplify n^4*m^3*n*m^6