Write each of the following as a rational number with positive denominator.
(i) `frac(12)(-17)`
(ii) `frac(1)(-2)`
(iii) `frac(-8)(-19)`
(iv) `frac(11)(-6)`

Write each of the following rational number in standard form: (i) frac(35)(49) (ii) frac(8)(-36) (iii) frac(-27)(45) (iv) frac(-14)(-49) (v) frac(91)(-78) (vi) frac(-68)(119) (vii) frac(-87)(116) (viii) frac(299)(-161)

EXAMPLE 1. Find the additive inverse of: (i) frac(5)(9) (ii) frac(-15)(7) (iii) frac(8)(-13) (iv) frac(-12)(-13)

Express each of the following as a rational number: ( i ) (frac(2)(3))^(3) ( ii ) (frac(-8)(5))^(3) ( iii ) (frac(-13)(11))^(2) ( iv ) (frac(1)(6))^(3) ( v ) (frac(-1)(2))^(5) ( vi ) (frac(-3)(4))^(4) ( vii ) (frac(-4)(7))^(3) ( viii ) (-1)^(9)

Express each of the following as a rational number: ( i ) (4)^(-1) ( ii ) (-6)^(-1) (iii) (frac(1)(3))^(1) ( iv ) (frac(-2)(3))^(-1)

EXAMPLE 2. Express each of the following rational number in exponential from: ( i ) frac(81)(256) ( ii ) frac(-32)(243) ( iii ) frac(-1)(343)

Express each of the following as a rational number: ( i ) 4^(-3) ( ii ) (-3)^(-5) ( iii ) (frac(1)(2))^(-4) ( iv ) (frac(-2)(5))^(-3)

Write down the numerator and the denominator of each the of the following rational numbers: (i) frac (8)(19) (ii) frac(5)(-8) (iii) frac(-13)(15) (iv) frac(-8)(-11) (v) 9

Which of the following are positive rational numbers? (i) frac(3)(-5) (ii) frac(-11)(15) (iii) frac(-5)(-8) (iv) frac(37)(53) (v) frac(0)(3) (vi) 8

Express each of the following as a rational number: ( i ) 5^(-3) ( ii ) (-2)^(-5) ( iii ) (frac(1)(4))^(-4) ( iv ) (frac(-3)(4))^(-3) ( v ) (-3)^(-1) xx (frac(1)(3))^(-1) ( vi ) (frac(5)(7))^(-1) xx (frac(7)(4))^(-1) ( vii ) (5^(-1)-7^(-1))^(-1) ( viii ) {(frac(4)(3))^(-1)-(frac(1)(4))^(-1)}^(-1) ( ix ) {(frac(3)(2))^(-1) div (frac(-2)(5))^(-1)} ( x ) (frac(23)(25))^(@)

Which of the following are rational numbers? (i) frac(5)(-8) (ii) frac(-6)(11) (iii) frac(7)(15) (iv) frac(-8)(-12) (v) 6 (vi) -3 (vii) 0 (viii) frac(0)(1) (ix) frac(1)(0) (x) frac(0)(0)