It turns out that all the properties we had for integer exponents work when the exponents are rational.Use these properties to simplify the following expressions. \text { (a) } x^{1 / 2} \cdot x^{1 / 3}= \text { (b) }\left(3^{1 / 3}\right)^{6}= \text { (c) }\left(x^{1 / 2}\right)^{5}= \left(x^{5}\right)^{1 / 2}= Use the properties of exponents and the rational exponent property to compute 272/3 without using a calculator.

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