Question

Can someone explain how to change radical equivalents to rational exponents and vice versa?

Answer 1

\[\large x^{1/q}=\sqrt[q]x\\
\large x^{p/q}=\sqrt[q]x^p\]


For example
\[64^{1/3}=\sqrt[3]{64}=\sqrt[3]{4^3}=4\]

\[4^{3/2}=\sqrt[2]{4^3}=\sqrt{4^3}=\sqrt{64}=\sqrt{8^2}=8\]

Answer 2

Okay. What change was that? Radical to rational or the other way around?

Answer 3

Radicals are \[\sqrt{x}\]Rationals are \[x ^{1/3}\]

Answer 4

Ohhh okay. Thank you! :D

Answer 5

dot.