If a and b are positive integers and (5^a)^b = 5^2, what is the value of 2^a*2^b?
If a and b are positive integers and (5^a)^b = 5^2, what is the value of 2^a*2^b?
Answer/Solution
125
Steps/Work
5^ab =5^2 therefore ab=2 either a=1 or 2 or b=2 or 1
therefore 5^a* 5^b = 5^(a+b)= 5^3 =125
E
therefore 5^a* 5^b = 5^(a+b)= 5^3 =125
E