(1/5)^w * (1/4)^18 = 1/(2(10)^35). What is w?  Choose one.
A) 17  B) 18  C) 34  D) 35  E) 36
We need to arrive at a common base. --&gt;   (5)^(-w) * 2^(-36) = 2^(-36)*5^(-35)   5^(-w)=5^(-35)   -w=-35   w=35=35
<result>D</result>
(1/5)^w * (1/4)^18 = 1/(2(10)^35). What is w?