SOLUTION: Quick question, I dont understand why 2^(5/2)-2^(3/2) simplified down will equal 2^(3/2). Heres my work and I'm looking for clarification on this part = 2^3/2*2^2/2

SOLUTION: Quick question, I dont understand why 2^(5/2)-2^(3/2) simplified down will equal 2^(3/2). Heres my work and I'm looking for clarification on this part = 2^3/2*2^2/2 - 2^3/2. Why a

Question 759755: Quick question, I dont understand why 2^(5/2)-2^(3/2) simplified down will equal 2^(3/2).
Heres my work and I'm looking for clarification on this part = 2^3/2*2^2/2 - 2^3/2. Why are they multiplying?
2^5/2 - 2^3/2
=2^(3/2+2/2) - 2^3/2
= 2^3/2*2^2/2 - 2^3/2
=2^3/2(2-1)
= 2^3/2
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given:

clarification on this part:
if you have you can write exponent as , then you have , then you use multiplication rule and write as a product like this
now back to ...factor
....write as and you see that is equal

......simple form

...final result
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