Question

What is 2^(5/2) - 2^(3/2)

Answer 1

X^(m/n)=$\sqrt[n]{x^m}$
2^(5/2)=$\sqrt[2]{x^5}$
2^(3/2)=$\sqrt[2]{x^3}$

so
2^(5/2)-2^(3/2)=
$\sqrt{2^5} - \sqrt{2^3}$=
$4\sqrt{2} - 2\sqrt{2}$=
$2\sqrt{2}$

Answer 2

Answer:

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

\sqrt{2^5} - \sqrt{2^3} =

4\sqrt{2} - 2\sqrt{2} =

2\sqrt{2}  

Step-by-step explanation:

x^(m/n)= \sqrt[n]{x^m}  

2^(5/2)= \sqrt[2]{x^5}  

2^(3/2)= \sqrt[2]{x^3}