SOLUTION: If m is negative are the following statement true: square m^2 = m and square m^6 =m^3

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Question 356960: If m is negative are the following statement true:
square m^2 = m
and
square m^6 =m^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is no. Ex: If m=-1, then

sqrt%28%28-1%29%5E2%29=sqrt%281%29=1. So this means that the left side of sqrt%28m%29=m is 1 but the right side is negative 1. So 1%3C%3E-1 which means that sqrt%28m%5E2%29%3C%3Em when m%3C0


The same idea applies to sqrt%28m%5E6%29=m%5E3