Question

50 points.

Please simplify.
Please answer it correctly and don't answer of you don't know otherwise I'll report it to higher authorities.​

Answer 1

well you already got an answer so can i have free 25

Answer 2

1

Explanation:

Using the rules of exponents

`(a^m)^(n)` =
`a^(mn)`

`a^(m)` ×
`a^(n)` =
`a^((m+n))`

Given

`((1)/(x^((a-b))) ) ^(a+b)` ×
`((1)/(x^(b+a)) ) ^(b-a)`

=
`(1)/(x^((a-b)(a+b)) )` ×
`(1)/(x^((b+a)(b-a)) )`

=
`(1)/(x^((a^2-b^2)) )` ×
`(1)/(x^((b^2-a^2)) )`

=
`(1)/(x^((a^2-b^2+b^2-a^2)) )`

=
`(1)/(x^(0) )`

=
`(1)/(1)`

= 1