Simplify 6m7m^2nn^4

$6 m \cdot 7 m^{2} n \cdot n^{4}$

Step 1

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

Move $m^{2}$ .

$6 (m^{2} m) \cdot (7 n) \cdot n^{4}$

Multiply $m^{2}$ by $m$ .

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

$6 (m^{2} m^{1}) \cdot (7 n) \cdot n^{4}$

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

$6 m^{2 + 1} \cdot (7 n) \cdot n^{4}$

Add $2$ and $1$ .

$6 m^{3} \cdot (7 n) \cdot n^{4}$

Step 2

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

Move $n^{4}$ .

$6 m^{3} \cdot (7 (n^{4} n))$

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

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

$6 m^{3} \cdot (7 (n^{4} n^{1}))$

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

$6 m^{3} \cdot (7 n^{4 + 1})$

Add $4$ and $1$ .

$6 m^{3} \cdot (7 n^{5})$

Step 3

Rewrite using the commutative property of multiplication.

$6 \cdot 7 m^{3} n^{5}$

Step 4

Multiply $6$ by $7$ .

$42 m^{3} n^{5}$

Simplify 6m*7m^2n*n^4