(1/5)^M*(1/4)^18 = (1/2*(10)^34))

by **SamirG28** Thu Dec 24, 2015 3:15 pm

Question #2, Practice Test #2:

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

How do I find the value of M?

by **RonPurewal** Fri Dec 25, 2015 3:23 am

hmmm...
the title of this thread contradicts your post. the title contains 34, the post contains 35. which is it?

by **RonPurewal** Fri Dec 25, 2015 3:26 am

...on second thought, with 34 this would be impossible. thus it must be 35. just watch your transcriptions, please.

keep in mind how fractions multiply. for instance, 1/7 x 1/5 = 1/35 because 7 x 5 = 35.

for the same reason, since everything on TOP of these fractions is just '1', what we're given here is equivalent to
(5^m)(4^18) = 2(10^34)

do you know where to take it from there?

some hints are in the posts below. first try to solve WITHOUT looking at the hints; then scroll down and look at them if necessary.
there are 2 hints, given in 2 separate posts.

by **RonPurewal** Fri Dec 25, 2015 3:26 am

hint #1: you can think about breaking the two sides down into primes.

by **RonPurewal** Fri Dec 25, 2015 3:26 am

hint #2: 'm' is the power to which 5 is raised. thus, the 2's (and the 4's, which are just powers of 2) are irrelevant to finding 'm', and can be ignored.

(1/5)^M(1/4)^18 = (1/2(10)^34))

(1/5)^M(1/4)^18 = (1/2(10)^34))

Re: (1/5)^M(1/4)^18 = (1/2(10)^34))

Re: (1/5)^M(1/4)^18 = (1/2(10)^34))

Re: (1/5)^M(1/4)^18 = (1/2(10)^34))

Re: (1/5)^M(1/4)^18 = (1/2(10)^34))

(1/5)^M*(1/4)^18 = (1/2*(10)^34))

(1/5)^M*(1/4)^18 = (1/2*(10)^34))

Re: (1/5)^M*(1/4)^18 = (1/2*(10)^34))

Re: (1/5)^M*(1/4)^18 = (1/2*(10)^34))

Re: (1/5)^M*(1/4)^18 = (1/2*(10)^34))

Re: (1/5)^M*(1/4)^18 = (1/2*(10)^34))

(1/5)^M(1/4)^18 = (1/2(10)^34))

(1/5)^M(1/4)^18 = (1/2(10)^34))

Re: (1/5)^M(1/4)^18 = (1/2(10)^34))

Re: (1/5)^M(1/4)^18 = (1/2(10)^34))

Re: (1/5)^M(1/4)^18 = (1/2(10)^34))

Re: (1/5)^M(1/4)^18 = (1/2(10)^34))