Evaluate the exponential expression [math](3^{\frac{1}{2}})^{\frac{4}{3}}[/math]. Round your answer to the nearest thousandth.
[list=1] [*]Simplify the expression using properties of exponents. [*]Write the rational exponent in simplest form. Be sure to include absolute value if the original expression involved finding an even root. [*]Evaluate the power and root of the function, using a calculator if needed. [/list] This applet is provided by Walch Education as supplemental material for the [i]CCGPS Analytic Geometry[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.