SOLUTION: Hi I am having a hard time solving 3 questions but I will be sending them to you individually. Evaluate a to the 2nd power b-c to the 2nd power when a=one third,b=5,and c=four fith

Algebra ->  Exponents -> SOLUTION: Hi I am having a hard time solving 3 questions but I will be sending them to you individually. Evaluate a to the 2nd power b-c to the 2nd power when a=one third,b=5,and c=four fith      Log On


   

Question 584893: Hi I am having a hard time solving 3 questions but I will be sending them to you individually. Evaluate a to the 2nd power b-c to the 2nd power when a=one third,b=5,and c=four fiths
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
a%5E2b-c%5E2
a=1%2F3
b=5
c=4%2F5
.
a%5E2b-c%5E2
%281%2F3%29%5E2%285%29-%284%2F5%29%5E2when raising a fraction to a power you must rais both the denominator and the numerator to that power
%281%2F9%29%285%29-%2816%2F25%29
5%2F9-16%2F25 multiply denoms together to get a common denom
9*25=225
%2825%2F25%29%285%2F9%29-%289%2F9%29%2816%2F25%29 multiplying by the 1s that will create the common denom
%28125%2F225%29-%28144%2F225%29
-19%2F225