Question

Evaluate the following: a) (2/3)^2*(2/3)^-3*(3/5)^2. b) (1/a+1/b)^n. c) (√4)^-7*(√2)^2

Answer 1

we know that (x^a) * (x^b) = x^a+b

apply this in our question

(2/3) ^2 * (2/3)^-3 = (2/3)^(2-3) = (2/3)^-1

= 1/(2/3) = 3/2

3/2* (3/5)^2

= 3^3 /5^2 *2

= 27 /50
(2/3)^2*(2/3)^-3*(3/5)^2 = 27/50

2)

(1/a+1/b)^n can be written as

[(a+b)/ab ]^n

= (a+b)^n /a^n*b^n

the expansion of (a+b )^n will study in higher secondory classes because you need to study the permutation and combination chapter for this problem

3) i cant understand the query in the 3rd question

i hope you will understand other two question