Problem involving exponents

bnd2 wrote:Hi everyone! I have been lurking for quite a bit and love this site!

I was wondering if anyone would be able to explain this problem to me as I am not understanding the correct answer (or how to arrive to the correct answer).


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

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


The correct answer is 35, but I can't seem to figure out why. Any help would be greatly appreciated.

Thanks,

Beth

lets take this step by step

(1/5)^m(1/4)^18=(1/2)^35 can be re-written as (1/5)^m(1/2)^36 right?

(1/5)(1/2)(1/2)^35

(1/10)(1/2)^35 or 1/2(10)^35

so m=35.

i hope i dint make a mistake anywhere.

Preet

bnd2 wrote:Hi everyone! I have been lurking for quite a bit and love this site!

I was wondering if anyone would be able to explain this problem to me as I am not understanding the correct answer (or how to arrive to the correct answer).


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

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


The correct answer is 35, but I can't seem to figure out why. Any help would be greatly appreciated.

Thanks,

Beth

5^-m*2^-36 = 2^-1(2*5)^-35
since bases are same powers can be added
5^-m*2^-36 = 2^-36*5^-35
5^-m = 5^ -35
therefore m =35
hope it is clear. If not plz let me know

Preet, when I first looked at yours I was still all WTF.

aloneontheedge, thank you thank you thank you.

I understood Preet's explanation after seeing yours. It makes a lot more sense now.

These questions seem to trip me up because I do not tend to think to break down something like 1/4 into (1/2)(1/2). I really need to drill that into my head.

You guys are my savior. Thanks so much

bnd2 wrote:Preet, when I first looked at yours I was still all WTF.

aloneontheedge, thank you thank you thank you.

I understood Preet's explanation after seeing yours. It makes a lot more sense now.

These questions seem to trip me up because I do not tend to think to break down something like 1/4 into (1/2)(1/2). I really need to drill that into my head.

You guys are my savior. Thanks so much

whenever you encounter exponents problems,try to break down the elements into prime factors.
bit of practice,u will on the track

bnd2 wrote:Preet, when I first looked at yours I was still all WTF.

aloneontheedge, thank you thank you thank you.

I understood Preet's explanation after seeing yours. It makes a lot more sense now.

These questions seem to trip me up because I do not tend to think to break down something like 1/4 into (1/2)(1/2). I really need to drill that into my head.

You guys are my savior. Thanks so much

another takeaway from such questions is the answer to these will mostly be the highest exponent power, because we will try and fit every other exponent power to match that. but to be doubly sure, you should always solve it.

i encountered big problems with these questions with such questions forever, but BTG has been really kind to me.

Preet

I hate to say it... I still don't get it...

I kind of grasp the left side of the equation, break the 1/4 down to (1/2)^18(1/2)^18 = (1/2)^36 - got it. No clue what's happening on the right side of the equation.

Is there a lower level of this sort of problem I can look at and learn from? Take the test in 6 days - this would probably be something good to know...

tyrath25 wrote:I hate to say it... I still don't get it...

I kind of grasp the left side of the equation, break the 1/4 down to (1/2)^18(1/2)^18 = (1/2)^36 - got it. No clue what's happening on the right side of the equation.

Is there a lower level of this sort of problem I can look at and learn from? Take the test in 6 days - this would probably be something good to know...

if nothing else makes sense and you dont have time, re-read my last post.

in this question: If (1/5)^m (1/4)^18 = 1/2(10)^35, then m =

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

the highest exponential power we have is 35, therefore 99out of 100 that is the answer you are looking for, even without solving.

hope you do well on the test.

Preet