Please help:
Type using only positive exponents:
>
Immediately when we see a factor which has a zero
exponent, we replace the whole base and exponent
by the number 1. So
becomes
or just
Next use this rule about fractions which have
numerator and/or denominator factors with
negative exponents:
If a factor on top has a negative exponent,
then bring it to the bottom and change its
exponent from negative to positive:
and the "vice-versa" of it:
If a factor on the bottom has a negative
exponent, then bring it to the top and change
its exponent from negative to positive:
So we bring the
from the top
to the bottom but change the sign of its
exponent to positive, so we erase the
in the top and put
in the bottom. I'll
put it on the bottom right:
Next we bring the
from the bottom
to the top but change the sign of its
exponent to positive, so we erase the
on the bottom and put
in the top. I'll
put it on the top right:
Next we bring the
from the bottom
to the top but change the sign of its
exponent to positive, so we erase the
on the bottom and put
in the top. I'll
put it on the top right also:
Now we have all the exponents positive, so all
we need do is simplify by adding exponents:
We replace
in the top by
Next we replace
in the bottom by
That's the final answer.
Now you need to type that in using the standard keyboard
symbols. BTW you had your original expression typed wrong.
You have this:
36x^-4 y^2 z^0 / 5x^2 y^-3 z^-2
But that means the same as this:
not this
Your mistake in typing was the failure to place
parentheses around any numerator or denominator
when it is necessary to tell the computer where
the numerator or denominator starts and where it
stops.
To type your final answer,
using standard keyboard characters, this is what
you type:
(36y^5z^2)/(5x^6)
Notice that the parenthese around the numerator and
denominator tell the computer or reader where they
starts and where they end.
If you were to type this instead:
36y^5z^2/5x^6
it would be wrong, for if you fail to
indicate where a numerator or denominator
starts and stops it is automatically assumed
that the numerator and denominator contain
as few factors as possible. So if you left
off the parentheses it would be understood
to be:
which would be wrong since that is different
from this:
Edwin