I imagine there's a typo in the question somewhere, because as written, the statements aren't consistent, and the answer is not D (it would be A).VJesus12 wrote:What is the value of $$10^x10^y?$$
(1) 2x+y=162x+y=16
(2) 5x+y=625
[spoiler]OA=D[/spoiler]
Source: Veritas Prep
It seems more likely the question is meant to say something like:
What is $$10^x 10^y$$ ?
1. 2^(x+y) = 16
2. 5^(x+y) = 625
Since 10^x * 10^y = 10^(x+y), the question is just asking us to find the value of x+y. From Statement 1 we know
2^(x+y) = 2^4
so x+y = 4, and from Statement 2 we know
5^(x+y) = 5^4
so again x+y = 4, and each Statement is sufficient alone.
