Question

सरल कीजिए -

`(1/5)^45 xx (1/5)^-60 - (1/5)^(+28) xx (1/5)^-43`

Answer 1

दिया गया है, `(1/5)^45 xx (1/5)^-60 - (1/5)^(+28) xx (1/5)^-43`

= `1/(5)^45  xx 1/(5)^-60 - 1/(5)^28 xx 1/(5)^-43`  ...[∵ a^m × aⁿ = (a)^{m + n}]

= `1/(5)^(45 - 60) - 1/(5)^(28 - 43)`  

= `1/(5)^-15 - 1/(5)^-15`  ...`[∵ a^-m = 1/a^m]`

= `(5)^15 - (5)^15` 

= 0