Algebra Examples

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

Step 1

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

Tap for more steps...

Step 1.1

Move $n^{- 5}$ .

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

Step 1.2

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

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

Step 1.3

Add $- 5$ and $5$ .

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

Step 2

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

$k^{5} \cdot k$

Step 3

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

Tap for more steps...

Step 3.1

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

Tap for more steps...

Step 3.1.1

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

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

Step 3.1.2

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

$k^{5 + 1}$

Step 3.2

Add $5$ and $1$ .

$k^{6}$