Thread: Simplifying exponents

however i get a different calculation
(27)^-1/3 = 9


(27)^-1/3 = 9 * 2/9 = -2/3 then -2/3 * -27 = 54/3Q = 18/Q

Hello,



It should work out fine now.

Originally Posted by Bacterius

Hello,



It should work out fine now.

27^-1/3 is -1/3 then?

2/9*-(1/3) = 2/27

then -2/27 * 27/q = 54/27Q = 2/1q =2/q
is that correct

Originally Posted by matlondon

27^-1/3 is -1/3 then?

2/9*-(1/3) = 2/27

then -2/27 * 27/q = 54/27Q = 2/1q =2/q
is that correct

No. 27^(-1/3) = 1/3. Try without the minus sign.

Originally Posted by matlondon

27^-1/3 is -1/3 then?

2/9*-(1/3) = 2/27

then -2/27 * 27/q = 54/27Q = 2/1q =2/q
is that correct

Note that

so
where the exponents cancel and we are left with 1/3. There is no negative, the negative exponent simply indicates that we have 1 over the value.