Consider the following tasks related to the laws of exponents.
a. (i) State the zero exponent rule and the negative exponent rule for any non-zero real number a.
b. (ii) Explain, with reference to the laws of exponents, why 50=1 even though multiplication by zero usually gives zero.
c. (iii) Write (32)−2 using only positive exponents and simplify the result to a single fraction, explaining each step briefly.