Problem

Study the following and answer the questions that follow. a. (i) Define the zero exponent and the rational exponent. Give one example for each definition. b. (ii) Rewrite the expression

\dfrac{\sqrt[3]{a^{5}b^{2}}}{a^{\,2/3}}\times b^{-1/2}

using only integral or rational exponents (no radical signs). c. (iii) Simplify completely the expression obtained in part (ii). Explain, in not more than three sentences, how the laws of exponents justify each step of your working.

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