What is 2^(5/2) - 2^(3/2)
x^(m/n)=\(\sqrt[n]{x^m}\)2^(5/2)=\(\sqrt[2]{x^5}\)2^(3/2)=\(\sqrt[2]{x^3}\)so2^(5/2)-2^(3/2)=\(\sqrt{2^5} - \sqrt{2^3}\)=\(4\sqrt{2} - 2\sqrt{2}\)=\(2\sqrt{2}\)
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}
