Hi I was wondering if you could please assist me with this p

Hi I was wondering if you could please assist me with this problem.

Which of the following are correct?

2² + 3² = 5

x²y² = x y

x² + y² = x + y

(2²)(3²) = 6

5² + 2² = 29

a) (2² + 3²) = 5

==> (4 + 9) = 5

==> 13 = 5 False

b) (x² y²) = x y

==> (x² y²)^1/2 = xy

==> (x²)^1/2 (y²)^1/2 = xy since (ab)^m = a^m b^m

==> xy = xy True since (a^m)ⁿ = a^mn

c) (x² + y²) = x + y False

d) (2²)(3²) = 6

==> [(2²)(3²)]^1/2 = 6

==> (2²)^1/2 (3²)^1/2 = 6

==> (2)(3) = 6

==> 6 = 6 True

e) (5² + 2²) = 29

==> (25 + 4) = 29

==> 29 = 29 True