How do you simplify #1/(3p^-4)#?

1 Answer
Mar 9, 2016

Answer:

#p^4/3#

Explanation:

A negative exponent denotes:

#a^-b=1/a^b#

Yielding the expression:

#=1/(3(1/p^4)#

To simplify this, multiply the fraction by #p^4/p^4#:

#=1/(3(1/p^4))(p^4/p^4)#

The denominator equals

#=3(1/p^4)(p^4)=3#

since #1/p^4(p^4)=1#.

Since the numerator is just #p^4#, the simplified expression equals

#=p^4/3#