How do you solve 2^5/2 - 2^3/2?

Question

2 ^5/2-2^3/2, how do you simplify.

Answer 1

2^5/2=2^4=16; 2^3/2=2^2=4; so 2^5/2-2^3/2=16*4=64=2^6. That's one interpretation.

2^(5/2)-2^(3/2)=2^(2+(1/2))-2^(1+1/2)=4sqrt(2)-2sqrt(2)=2sqrt(2)=2.8284 approx. That's another interpretation.

Answer 2

2^5/2 -2^3/2 =

sqrt(2^5) - sqrt(2^3)=

sqrt2^4*sqrt2 - sqrt2^2*sqrt2 =

4sqrt2 - 2sqrt2=

2sqrt2