Question

`(6/13)^10 ÷ [(6/13)^5]^2 = (6/13)^-`

Answer 1

`(6/13)^10 ÷ [(6/13)^5]^2 = (6/13)^bb(underline(0)`

Explanation:

Here, `(6/10)^10 ÷ [(6/13)^5]^2 = (6/13)^10 ÷ (6/13)^(5 xx 2)`  ...[∵ (a^m)ⁿ = a^mn]

= `(6/13)^10 ÷ (6/13)^10`  ...[∵ a^m ÷ aⁿ = a^{m – n}, (m > n)]

= `(6/13)^(10 - 10)` 

= `(6/13)^0`

∴ `(6/13)^10 ÷ [(6/13)^5]^2 = (6/13)^0`