Question

Why am i getting the wrong answer

x^11y^10/x^-3y^-1

I get x^14, y^10

a -mn (quotient power i think)..

so 11 - (-3) = 14
and 10 - (-1) = 11..

unless for some reason the M and N are swapped with the y and i have to do -1 + 10 or something, please explain

Answer 1

please use this rule:
\[\frac{ y ^{n} }{ y ^{-m} }=y ^{n-(-m))}=y ^{n+m}\]

Answer 2

@Michele_Laino i am 10 - (-1) is 11 isn't it?

Answer 3

yes, it is

Answer 4

\[\frac{x^{11}y^{10}}{x^{-3}y^{-1}}\]\[\frac{x^{11}y^{10}}{\dfrac{1}{x^3}\dfrac{1}{y}} = (x^{11}x^3)(y^{10}y^1)\]and then remember....\(x^m \cdot x^n = x^{m+n}\)

Answer 5

@Michele_Laino then i am confused why all the calculators i use to test my answer gives me the +9 instead +11

Answer 6

I thin becaus your expression can be write as @Jhannybean wrote

Answer 7

oops... I think because...

Answer 8

so am i right? the answer should be (x^14)(y^11) once simiplifed?

Answer 9

9 does not make any sense whatsoever.

Answer 10

Yes, you are right.

Answer 11

yes I think!

Answer 12

wolffram gives me wrong answer then :s, thanks!!

Answer 13

of course if your expression is:
\[x ^{11}\frac{ y ^{10} }{ x ^{3} }y ^{-1}\]
then your answer is another

Answer 14

Then you would have :\[\frac{x^{11}}{1}\cdot \frac{y^{10}}{x^3} \cdot \frac{1}{y} = x^8y^9\]