How do you simplify #\frac { x ^ { - 1 } } { 4 x ^ { 4 } }#?

1 Answer
Jun 10, 2018

Answer:

#1/(4x^5)#

Explanation:

We can rewrite our expression as

#1/4 (x^(-1)/x^4)#

And now, all we have to pay attention to is the variables.

Next, we will leverage the exponent property

#(x^a)/(x^b)=x^(a-b)#

All this is saying is that if we have the same base, we subtract the exponents. Applying this, we get

#1/4 (x^(-1-4))#

Which simplifies further to

#1/4 x^-5#

If the negative exponent bothers you, we can easily make it positive by bringing it to the denominator. We'll get

#1/4 x^-5=1/(4x^5)#

Hope this helps!