Express $\sqrt{x}$√x in exponential form.
Express $\sqrt[6]{x}$6√x in exponential form.
Express $\sqrt[5]{x^7}$5√x7 in exponential form.
Express $\frac{1}{\sqrt{x}}$1√x with a negative fractional exponent.
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.