ii) `(2/3)^2 xx (-3/5)^3 xx (7/2)^2`

Evaluate: (i) ((2)/(3))^(3) xx ((2)/(3)) ^(2)" "(ii)((4)/(7))^(7)xx ((4)/(7))^(-3)" "(iii) ((3)/(2))^(-3) " "(iv) ((8)/(5))^(-3) xx((8)/(5))^(2)

Simplify each of the following and express each as a rational number: ( i ) (frac(3)(2))^(4) xx (frac(1)(5))^(2) ( ii ) (frac(-2)(3))^(5) xx (frac(-3)(7))^(3) ( iii ) (frac(-1)(2))^(5) xx 2^(3) xx (frac(3)(4))^(2) ( iv ) (frac(2)(3))^(2) xx (frac(-3)(5))^(3) xx (frac(7)(2))^(2) ( v ) {(frac(-3)(4))^(3)-(frac(-5)(2))^(3)} xx 4^(2)

Using appropriate properties, find (2)/(3)xx (-5)/(7) +(7)/(3) +(2)/(3) xx (-2)/(7) .

Simplify and express each of the following as power of a rational number: (2/3)^3xx(-6/7)^2xx(-7/4)xx3/2 (iii) -(2/5)^2xx(5/7)^2xx(49)/5+(-4/5)^3xx5/4xx3/4

Evaluate (i) 3/2 xx 4/5+3/5 xx 4/5 (ii) 14/3 xx 7/2-1/3 xx 7/2

((2^8)^2xx5^3)/(7^3xx4)

For the fractions given below : (a) Multiply and reduce the product to lowest form (if possible) (b) Tell whether the fraction obtained is proper or improper. (c) If the fraction obtained is improper then convert it into a mixed fraction. (i) 2/5 xx (5) 1/4 (ii) (6) 2/5 xx 7/9 (iii) 3/2 xx (5) 1/3 (iv) 5/6 xx (2) 3/7 (v) (3) 2/5 xx 4/7 (vi) (2) 3/5 xx 3 (vii) (2) 3/5 xx 3 (viii) (3) 4/7 xx 3/5

(3/2 xx (-7)/4) - ((-5)/2 xx 3/4)