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

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.
by Top Rated User (646k points)
2^5/2 -2^3/2 =

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

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

4sqrt2 - 2sqrt2=

2sqrt2
by Level 8 User (36.8k points)

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