PLZ HELP..
if m and k are positive and 10m^2 k^-1 = 100m,
what is m^-1 in terms of k?

k/10

k/90

1/10k

1/90k

Question

PLZ HELP..
if m and k are positive and 10m^2 k^-1 = 100m, 
what is m^-1 in terms of k?

k/10

k/90

1/10k

1/90k

anonymous · Answer

I know this has already been answered but I still don't get it.

anonymous · Answer

Anyone?

anonymous · Answer

it is 1/10k

anonymous · Answer

Thanks. The book said that too, but I don't understand how they got from Step 3 to 4, if you know what I mean..

anonymous · Answer

ie: How do I get to this answer?

anonymous · Answer

10m^2 k^-1 = 100m
10m k^-1 = 100 (m is cancelled from both sides)
10m = 100k (k is multiplied on both sides)
m = 10k (10 is divided from both sides)
m^-1 = 1/10k (both sides are reciprocated - m^-1 is equivalent to 1/m)

anonymous · Answer

10m^2k^-1=100m
now we cancel 1 m from both the sides so we have ,
10mk^-1=100
divide the equation by 10, we get 
mk^-1 =10
multiply both sides with k 
m=10k
and here we want 1/m so we dived both the sides of the equation with 1 
and we have 1/m=1/10k
hope this helps !!

anonymous · Answer

@luxiliu @Living_dreams  Thanks a million to you both! Just another question: When you multiplied k on both sides, what happened to the -1 that was above it?

anonymous · Answer

$$\frac{ 10m ^{2} }{ k } = 100 m$$
$$10m ^{2} = 100 mk$$ multiply both sides by 1/100m
$$\frac{ 10m ^{2} }{ 100m } = k$$
$$\frac{ m }{ 10 } = k $$
$$m=10k$$ take the reciprocal for both sides
$$\frac{ 1 }{ m } = \frac{ 1 }{10k }$$
$$m ^{-1} = \frac{ 1 }{10k }$$

anonymous · Answer

you have k i.e k^1 and u mulitpy with k^-1 so the -1 and 1 makes it k^0 and anything raised to 0 is 1.

anonymous · Answer

Well, anything to the power of -1 is basically it's reciprocal. Therefore, when you multiply k^-1 with k, you get one, and so it is essentially cancelled out and moved to the other side

anonymous · Answer

Okay, so k^-1 when multiplied against k (its positive reciprocal) it sort of neutralizes the negative power.. is that about right?

anonymous · Answer

$$m=10 k $$ multiply by m^-1 k^-1 
k^-1 = 10 m^-1
k^-1 / 10 =  m^-1
>> m * m^-1 = m^(1+(-1)) = m^0 = 1

anonymous · Answer

@Avva Thank you for your help!

anonymous · Answer

@Dj2k12  URW :)

anonymous · Answer

mm there will be no power left so it will be a zero. and anything raised to a zero is always a 1

anonymous · Answer

"Anything raised to a 0 will always be 1" - I'm writing that one down. @Living_dreams, thanks again for your help.

anonymous · Answer

@Dj2k12 : Your welcome :)
good luck !!