Simplify 6m^3n^3*8m^2n^3

$6 m^{3} n^{3} \cdot 8 m^{2} n^{3}$

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

Move $m^{2}$ .

$6 (m^{2} m^{3}) n^{3} \cdot (8 n^{3})$

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

$6 m^{2 + 3} n^{3} \cdot (8 n^{3})$

Add $2$ and $3$ .

$6 m^{5} n^{3} \cdot (8 n^{3})$

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

Move $n^{3}$ .

$6 m^{5} (n^{3} n^{3}) \cdot 8$

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

$6 m^{5} n^{3 + 3} \cdot 8$

Add $3$ and $3$ .

$6 m^{5} n^{6} \cdot 8$

Multiply $8$ by $6$ .

$48 m^{5} n^{6}$