. Find the product:
(i) `frac(2)(3) xx frac(5)(7)` (ii) `frac(3)(4) xx (frac(-5)(8))` (iii) `frac(-4)(5) xx 6`

. Simplify: (i) frac(-36)(7) xx frac(-14)(9) (ii) frac(-8)(13) xx frac(39)(-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)

Simplify: (i) frac(-5)(9) xx frac(63)(-100) (ii) frac(-11)(9) xx frac(-21)(-44)

LCM of frac(2)(3) , frac(4)(9) , frac(7)(12) is

Write each of the following in power notation: ( i ) frac(5)(7)xxfrac(5)(7)xxfrac(5)(7)xxfrac(5)(7) ( ii ) (frac(-4)(3)) xx (frac(-4)(3)) xx (frac(-4)(3)) xx (frac(-4)(3)) xx (frac(-4)(3)) ( iii ) (frac(-1)(6)) xx (frac(-1)(6)) xx (frac(-1)(6)) ( iv ) (-8) xx (-8) xx (-8) xx (-8) xx (-8)

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

HCF of frac(2)(3) , frac(4)(5) and frac(6)(7) is

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

Solve the expression frac(2)(3) + frac(3)(4) + frac(3)(8) + frac(3)(10)

Simplify each of the following as a rational number: ( i ) (frac(4)(9))^(6) xx (frac(4)(9))^(-4) ( ii ) (frac(-7)(8))^(-3) xx (frac(-7)(8))^(2) ( iii ) (frac(4)(3))^(-3) xx (frac(4)(3))^(-2)