If a = 3 and b = 2, then find the value of the following.(i) ab + ba(

1.	If a = 3 and b = 2, then find the value of the following.(i) ab + ba(ii) aa – bb(iii) (a + b)b(iv) (a – b)a
Answer» (i) a^b + b^a a = 3 and b = 2 We get 3² + 2³ = (3 x 3) + (2 x 2 x 2) = 9 + 8 = 17 (ii) (a^a – b^b) Substituting a = 3 and b = 2 We get 3² – 2² = (3 x 3 x 3) – (2 x 2) = 27 – 4 = 23 (iii) (a + b)^b Substituting a = 3 and b = 2 We get (3 + 2)² = 5² = 5 x 5 = 25 (iv) (a – b)^a Substituting a = 3 and b = 2 We get (3 – 2)³ = 1³ = 1 x 1 x 1 = 1

If a = 3 and b = 2, then find the value of the following.(i) ab + ba(ii) aa – bb(iii) (a + b)b(iv) (a – b)a

Answer»

(i) a^b + b^a

a = 3 and b = 2

We get 3² + 2³ = (3 x 3) + (2 x 2 x 2)

= 9 + 8

= 17

(ii) (a^a – b^b)

Substituting a = 3 and b = 2

We get 3² – 2² = (3 x 3 x 3) – (2 x 2)

= 27 – 4

= 23

(iii) (a + b)^b

Substituting a = 3 and b = 2

We get (3 + 2)² = 5²

= 5 x 5

= 25

(iv) (a – b)^a

Substituting a = 3 and b = 2

We get (3 – 2)³ = 1³

= 1 x 1 x 1

= 1