EXAMPLE 2. Subtract (i) `frac(3)(4)("from")frac(2)(3)` (ii) `frac(-5)(7)("from")frac(-2)(5)`

(frac(2)(3))^(-5)= ?

EXAMPLE 1. Simplify: (i) frac(7)(15) div frac(2)(3) (ii) frac(-8)(35) div frac(2)(7) (iii) frac(16)(21) div frac(-4)(3) (iv) frac(-9)(20) div frac(-3)(10)

Which of the following rational number are equal? (i) frac(8)(-12)("and")frac(-10)(15) (ii) frac(-3)(9)("and")frac(7)(-21) (iii) frac(-8)(-14)("and")frac(15)(21)

Which of the two rational number is greater in each of the following pairs? (i) frac(5)(6)("or")0 (ii) frac(-3)(5)("or")0 (iii) frac(5)(8)("or")frac(3)(8) (iv) frac(7)(9)("or")frac(-5)(9) (v) frac(-6)(11)("or")frac(5)(-11) (vi) frac(-15)(4)("or")frac(-17)(4)

Simplify each of the following and express each as a rational number: ( i ) (frac(2)(3))^(4) xx (frac(2)(3))^(2) ( ii ) (frac(-3)(4))^(3) xx (frac(-3)(4))^(2) ( iii ) (frac(5)(7))^(5) xx (frac(5)(7))^(-3) ( iv ) (frac(-3)(5))^(-3) xx (frac(-3)(5))^(2)

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

. Add frac(-2)(3) and frac(3)(4).

Evaluate: ( i ) (frac(3)(4))^(2) ( ii ) (frac(-2)(3))^(3) ( iii ) (frac(-4)(5))^(5)

Simplify and express the result in exponential form: ( i ) (frac(3)(4))^(7) xx (frac(3)(4))^(5) ( ii ) (frac(-2)(5))^(11) xx (frac(-2)(5))^(4)