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)`

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)

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

Which of the following are negative rational number? (i) frac(-15)(-4) (ii) 0 (iii) frac(-5)(7) (iv) frac(4)(-9) (v) -6 (vi) frac(1)(-2)

Express each of the following in power notation: ( i ) frac(25)(36) ( ii ) frac(-27)(64) ( iii ) frac(-32)(243) ( iv ) frac(-1)(128)

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)

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 the following rational numbers in recurring decimals frac(3)(7)

Find if the following real number is rational or irrational: -frac(1)(4)

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

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)