1. ## GMAT Help!

Hi, I am stuck on the solution for this problem. Can anyone help??

(1/5)^m * (1/4)^18 = 1/2(10)^35

Need to solve for m. I know the answer is 35...just need to how the math works out. According to the makers of the test, it should only take a few minutes. What am I missing?? Thanks!!

2. I assume the original expression is

$\left(\frac{1}{5}\right)^m \cdot \left(\frac{1}{4}\right)^{18}= \frac{1}{2 \cdot 10^{35}}$

rewrite as ...

$5^{-m} \cdot 2^{-36} = 2^{-1}(2^{-35} \cdot 5^{-35})$

should be easy to "see" what m is now.

3. Thanks for the help!