Answer the following questions related to integral laws of exponents.
a. (i) State any two laws of exponents that involve multiplication or division of powers having the same base.
b. (ii) Explain, using one of the laws stated in part (i), why a0=1 for any non-zero integer a.
c. (iii) Simplify 54×5−2×252 and express the result as a single power of 5. Show each step clearly.