Simplify (x^2n^4)(n^-8)

$(x^{2} n^{4}) (n^{- 8})$

Step 1

Multiply $n^{4}$ by $n^{- 8}$ by adding the exponents.

Move $n^{- 8}$ .

$x^{2} (n^{- 8} n^{4})$

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

$x^{2} n^{- 8 + 4}$

Add $- 8$ and $4$ .

$x^{2} n^{- 4}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$x^{2} \frac{1}{n^{4}}$

Step 3

Combine $x^{2}$ and $\frac{1}{n^{4}}$ .

$\frac{x^{2}}{n^{4}}$