SOLUTION: solve 5root5*5^3/5^(-3/2)=5^(x+2)

Question 637328: solve 5root5*5^3/5^(-3/2)=5^(x+2)
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Just follow the rules of exponents to simplify the left side to
5^[(1-9/10)/5] = 5^(1/50)
The right side is 5^(x+2)
Equate 5^(1/50) = 5^(x+2) yields
x+2 = 1/50
x = 1/50 - 2
x = -99/50
Always (if possible) check your answer by placing your answer into the ORIGINAL equation to see if you get an agreement.
LS = 5^(1/50) as above
RS = 5^(x+2)
RS = 5^[(-99/50)+2]
RS = 5^[(-99+100)/50]
RS = 5^(1/50)
LS = RS
Your answer is x = -99/50
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