Question

If a=3, b=2 then
of
find the values
(i) a^a+b^b
(ii) a^b+b^a
(iii) (a+b)^ab​

Answer 1

if ,

a= 3 and b = 2

$a {}^{a} + b {}^{b} \\ = 3 {}^{3} + 2 {}^{2} \\ =27 + 4 \\ = 31$

$a {}^{b} + b {}^{a} \\ = 3 {}^{2} + 2 {}^{3} \\ = 9 + 8 \\ = 17$

$(a + b) {}^{ab} \\ = (3 + 2) {}^{3 \times 2} \\ = 5 {}^{6} \\ = 5 \times 5 \times 5 \times 5 \times 5 \times 5 \\ = 15625$

GravityKiller