I am preparing for a quiz and received a small guide (mini guide) over the weekend. So I have all the answers to the questions but I want to learn how to solve this specific problem: 2^(5/2)- 2^(3/2) and the answer is 2^(3/2). To clarify the numbers in the parentheses are exponents. Thanks in advance for any help and a recommendation for a math website where I could learn this problems are also appreciated.
2^(5/2) = 2^(3/2)*2^(2/2)
so we have
2^(3/2)*2^(2/2) - 2^(3/2)
= 2^(3/2)(2-1)
= 2^(3/2)