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 meaning of rational exponents follows from extending the properties of integer exponents to rational numbers, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^[(1/3) x 3] to hold, so [5^(1/3)]^3 must equal 5.
Rewrite expressions involving radicals and rational exponents using the properties of exponents.