maths question..............................................

Question

If 9(1/h) = 11(1/k) = 99 , where h and k are not equal to 0 , determine the value of h+k without finding the values of h and k.

thanks for your help!

更新:

It should be 9^(1/h) = 11^(1/k) = 99

更新 2:

thanks

Answer 1

最愛解答

9(1/h)=99

99^h = 9 -(1)

11(1/k) = 99

99^k = 11 -(2)

(1)+(2): 99^(h+k) = 99

h+k = 1

2008-08-19 13:10:50 補充：

a^m*a^n = a^(m+n)