How do you take the cube root of an exponent?

1 Answer
Apr 11, 2016

You divide the exponent by #3#

Explanation:

For any real number #a# it is true that :

#root(3)(a)=a^(1/3)#

So if #a# is written as power #a=b^c#, then to calculate the cube root you have to divide the power's exponent by #3#.

#root(3)(b^c)=(b^c)^(1/3)=b^(1/3c)=b^(c/3)#