Hi, for this problem I tried different numbers for x and y(other than 1 for both of them) but I am not getting the right answer. Can anyone of check it out for me?

I assumed x=2, y= \frac{1}{2}

So, x+y= \frac{5}{2} and x-y= \frac{3}{2}

So, \frac{2^5}{2^3}= 2^2= 4 (while the answer is 16)

Where am I wrong, I don’t get it

You forgot to square x+y and x-y

The question is 2^{(x+y)^2}

More specifically, 2^{{(x + y)}^2} is not 2^{2(x + y)}, since (x + y) is being squared, not the exponent term.

Isn’t (5/2)*2=5? I skipped one line

I don’t get it. Would you mind being specific please?

well it isn’t (\frac{5}{2})*2, but rather (\frac{5}{2})^2 = (\frac{25}{4})

1 Like