Help with a Gmat Prep Question

[willy1969]

Can someone help me with the following question from GMAT PREP Test:

if (1/5)^m (1/4)^18 = 1/2(10)^35, then m =

a 17
b 18
c 34
d 35
e 36

[dally_gmat]

IMO answer is D = 35?

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

=(1/5)^m(1/2)^36 = 1/2(10)^35
= (1/5)^m(1/2)^35 = (10)^35
= Now if m = 35 both equations are equal ...

What is OA?

Can someone help me with the following question from GMAT PREP Test:

if (1/5)^m (1/4)^18 = 1/2(10)^35, then m =

a 17
b 18
c 34
d 35
e 36

[willbeatthegmat]

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

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

(1/5)^m * (1/2) ^36 = (1/2) * ((1/2)* (1/5)) ^ 35

(1/5)^m * (1/2) ^36 = (1/2) * (1/2) ^ 35 * (1/5) ^ 35

(1/5)^m * (1/2) ^36 = (1/2) ^ 36 * (1/5) ^35

(1/5)^m = (1/5) ^35

m = 35

Cheers!!