Question

सरल कीजिए -

`(4/13)^4 xx (13/7)^2 xx (7/4)^3`

Answer 1

दिया गया है, `(4/13)^4 xx (13/7)^2 xx (7/4)^3`

= `(4)^4/(13)^4 xx (13)^2/(7)^2 xx (7)^3/(4)^3`   

= `(4)^4 xx (4)^-3 xx (13)^2 xx (13)^-4 xx (7)^3 xx (7)^-2`  ...`[∵ a^-m = 1/a^m]`

= `(4)^(4 - 3) xx (13)^(2 - 4) xx (7)^(3 - 2)`  ...`[∵ a^m xx a^n = a^(m - n)]`

= `(4)^1 xx (13)^-2 xx (7)^1`

= `4 xx 1/169 xx 7`  ...`[∵ a^-m = 1/a^m]`

= `28/169`