Simplify 2m^3n^2*3mn^4

$2 m^{3} n^{2} \cdot 3 m n^{4}$

Step 1

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

Move $m$ .

$2 (m \cdot m^{3}) n^{2} \cdot (3 n^{4})$

Multiply $m$ by $m^{3}$ .

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

$2 (m^{1} m^{3}) n^{2} \cdot (3 n^{4})$

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

$2 m^{1 + 3} n^{2} \cdot (3 n^{4})$

Add $1$ and $3$ .

$2 m^{4} n^{2} \cdot (3 n^{4})$

Step 2

Multiply $n^{2}$ by $n^{4}$ by adding the exponents.

Move $n^{4}$ .

$2 m^{4} (n^{4} n^{2}) \cdot 3$

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

$2 m^{4} n^{4 + 2} \cdot 3$

Add $4$ and $2$ .

$2 m^{4} n^{6} \cdot 3$

Step 3

Multiply $3$ by $2$ .

$6 m^{4} n^{6}$