Question

2^5/2 –2^3/2 please help me solve step by step please.

Answer 1

So $2^{ \frac{5}{2} }$ is the same as $\sqrt{ 2^{5} }$ and therefore $2^{ \frac{3}{2} }$ is $\sqrt{ 2^{3} }$. 

So.. the $\sqrt{32}$ minus $\sqrt{8}$.

We can pull a 4 out of the 32 to make 4$\sqrt{2}$ as 16 times 2 is 32
We can pull a 2 out of the 8 to make 2$\sqrt{2}$. 
Now they have like bases, so to speak, and 4-2 is 2.
So the answer is 2$\sqrt{2}$.