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ps

by baller12q » Sun Mar 29, 2009 6:39 am
if (1/5)^m (1/4)^18= 1/2(10)^35, then m=

a. 17
b. 18
c. 34
d. 35
e. 36



i dont understand this question i someone out there please explain the anwser
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by Neo2000 » Sun Mar 29, 2009 7:22 am
This Question is based on the Law of Exponents

a^m * a^n = a^(m+n) (and vice-versa)

Now, your Left hand side has 5^m and 4^18
4 can be written as 2^2 so 4^18 = (2^2)^18 = 2^36
(According to Law of Exponents (a^m)^n = a^(m*n) )

Your Right hand side has 10 which is the same as 5 * 2
So (5*2) ^ 35 = (5^35) * (2^35) (see top)

Therefore m = 35

p.s. I have ignored the fractional part since the numerator is 1 and therefore doesnt affect the answer.
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Re: ps

by Brent@GMATPrepNow » Sun Mar 29, 2009 7:25 am
baller12q wrote:if (1/5)^m (1/4)^18= 1/2(10)^35, then m=
a. 17
b. 18
c. 34
d. 35
e. 36
i dont understand this question i someone out there please explain the anwser
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