Simplify n^5k^5n^-5*k

$n^{5} \cdot k^{5} \cdot n^{- 5} \cdot k$

Multiply $n^{5}$ by $n^{- 5}$ by adding the exponents.

Move $n^{- 5}$ .

$n^{- 5} n^{5} \cdot k^{5} \cdot k$

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

$n^{- 5 + 5} \cdot k^{5} \cdot k$

Add $- 5$ and $5$ .

$n^{0} \cdot k^{5} \cdot k$

Simplify $n^{0} \cdot k^{5} \cdot k$ .

$k^{5} \cdot k$

Multiply $k^{5}$ by $k$ by adding the exponents.

Multiply $k^{5}$ by $k$ .

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

$k^{5} \cdot k^{1}$

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

$k^{5 + 1}$

Add $5$ and $1$ .

$k^{6}$

Simplify n^5*k^5*n^-5*k