Question

simplify \[\frac{ 2x ^{-3} }{ -3y ^{-2} }\]

Answer 1

do you know what is x^-3/x^-2

Answer 2

x^2/x^3?

Answer 3

\[\frac{x ^{A}}{x^{B}} = x^{A-B}\]

Answer 4

1/x

Answer 5

yeah. So now can you solve the problem?

Answer 6

what about the different bases?

Answer 7

they're not different

Answer 8

my bad, I need to amend the question.

Answer 9

\[2x^{A} =/= (2x)^{A}\]

Answer 10

What's there to simplify ?

Answer 11

you can't really simplify it, but there's one thing you can do: switching the place on the fraction and making the exponent positive

Answer 12

ok

Answer 13

what is the rule of that?

Answer 14

\[a/x = a * (1/x)\]

Answer 15

and 1/(1/x) = x

Answer 16

a/(b/x) = ax/b

Answer 17

so if an exponent is negative, you just switch the place in the fraction and make the exponent positive

Answer 18

cheers.

Answer 19

np