Simplify (evaluate(n^8))/(n^2)

$\frac{e v a l u a t e (n^{8})}{n^{2}}$

Step 1

Multiply $a$ by $a$ by adding the exponents.

Move $a$ .

$\frac{e v (a \cdot a) l u t e n^{8}}{n^{2}}$

Multiply $a$ by $a$ .

$\frac{e v a^{2} l u t e n^{8}}{n^{2}}$

Step 2

Cancel the common factor of $n^{8}$ and $n^{2}$ .

Factor $n^{2}$ out of $e v a^{2} l u t e n^{8}$ .

$\frac{n^{2} (e v a^{2} l u t e n^{6})}{n^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{n^{2} (e v a^{2} l u t e n^{6})}{n^{2} \cdot 1}$

Cancel the common factor.

$\frac{n^{2} (e v a^{2} l u t e n^{6})}{n^{2} \cdot 1}$

Rewrite the expression.

$\frac{e v a^{2} l u t e n^{6}}{1}$

Divide $e v a^{2} l u t e n^{6}$ by $1$ .

$e v a^{2} l u t e n^{6}$

Step 3

Multiply $e v a^{2} l u t e$ .

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

$v a^{2} l u t (e^{1} e) n^{6}$

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

$v a^{2} l u t (e^{1} e^{1}) n^{6}$

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

$v a^{2} l u t e^{1 + 1} n^{6}$

Add $1$ and $1$ .

$v a^{2} l u t e^{2} n^{6}$