Question

Help! I'm confused!

Answer 1

\[\frac{ (x ^{-4}y ^{3})^{-4} }{ (y ^{2}x ^{-6)^{-5}} }\]

Answer 2

when dividing variable expressions like this, you just subtract the exponents

Answer 3

so dividing x^(-4) by x^(-6) gives you

x^(-4 - (-6)) = x^(-4 + 6) = x^2

Answer 4

oh wait you first need to multiply the outer exponent of -5 by each of the inner exponents in the denominator

Answer 5

then you can use that subtraction rule

Answer 6

hmm let me redo

Answer 7

so i'd be like -4--4 so the exponent would be x^0? and then 3--4 would be y^7?

Answer 8

\[\large \frac{ (x ^{-4}y ^{3})^{-4} }{ (y ^{2}x ^{-6)^{-5}} }\]

\[\large \frac{ x ^{-4*(-4)}y ^{3*(-4)} }{ y ^{2*(-5)}x ^{-6*(-5)} }\]

\[\large \frac{ x ^{16}y ^{-12} }{ y ^{-10}x ^{30} }\]

now you can use that subtraction rule

Answer 9

So i'd be ?