Simplify n^22nn^2

$n^{2} \cdot 2 n \cdot n^{2}$

Step 1

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

Move $n$ .

$n \cdot n^{2} \cdot 2 \cdot n^{2}$

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

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

$n^{1} n^{2} \cdot 2 \cdot n^{2}$

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

$n^{1 + 2} \cdot 2 \cdot n^{2}$

Add $1$ and $2$ .

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

Step 2

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

Move $n^{2}$ .

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

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

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

Add $2$ and $3$ .

$n^{5} \cdot 2$

Step 3

Move $2$ to the left of $n^{5}$ .

$2 n^{5}$

Simplify n^2*2n*n^2