How do you simplify #100000^(1/6)#?

1 Answer
Oct 6, 2017

The approximate answer is 6.81

Written with a radical it is #root(6)100000#


The answer was obtained by using a calculator, but the converting from exponent to radical is a skill you can actually learn.

Any time you have an exponent written as a fraction, you can write that as a radical (looks like a square root).

The general rule is #a^(b/c)=root(c)(a^b)#

In your problem a = 100000, b = 1, and c = 6