Question

Rewrite the expression without using a negative exponent.
Simplify your answer as much as possible.

Answer 1

Answer:

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

or

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

Step-by-step explanation:

The given expression is

$\frac{1}{4n^{-4}}$

This is an exponential expression with a negative index in the denominator.

We can rewrite the expression so that it will be,

$=\frac{1}{4}\times \frac{1}{n^{-4}}$

We now apply this property of indices. A negative index in the denominator becomes a positive index in the numerator.

$\frac{1}{a^{-m}} =a^{m}$

When we apply this we get,

$=\frac{1}{4}\times n^{4}$

We then simplify to obtain,

$=\frac{1}{4}n^{4}$