For any non - zero rational number a we define `(i) a^1 = a` (ii) `a^@=1` .

Define rational numbers.

Zero is a rational number.

Reciprocal of a non - zero rational number

Properties III For every non-zero rational number (a)/(b) we have (i) (a)/(b)-:(a)/(b)=1 (ii) (a)/(b)-:(-(a)/(b))=-1 (iii) ((-a)/(b))-:(a)/(b)=-1

For a non zero rational numbers a ,\ (a^3)^(-2) is equal to a^6 (b) a^(-6) (c) a^(-9) (d) a^1

For a non zero rational number p, p^(13)-:p^(8) is equal to

For a non-zero rational number a ,\ a^7-:a^(12)\ is equal to a^5 (b) a^(-19) (c) a^(-5) (d) a^(19)

For a non zero rational number x,x^(8)-:x^(2) is equal to

For a non zero rational number z,(z^(-2))^(3) is equal to