`3/5xx(-12/7)xx15/2xx49/24`

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

Simplify: ((13)/9xx(-15)/2)+(7/3xx8/5)+(3/5xx1/2) (3/(11)xx5/6)-(9/(12)xx4/3)+(5/(13)xx6/(15))

Simplify: (i) ((13)/9xx(-15)/2)+(7/3xx8/5)+(3/5xx1/2) (ii) (3/(11)xx5/6)-(9/(12)xx4/3)+(5/(13)xx6/(15))

((3)^(-5)xx5^(-2)xx27^(2/3))/(6^2xx25^(1/2)xx49^(-1/2))

Simplify: (3/(11)xx5/6)-\ (9/(12)xx4/3)+\ (5/(13)xx6/(15))

Verify each of the following: (i) ((5)/(7)xx (12)/(13))xx(7)/(18)= (5)/(7) xx ((12)/(13)xx(7)/(18)) (ii) (-13)/(24)xx((-12)/(5)xx(35)/(36))=((-13)/(24)xx(-12)/(5))xx (35)/(36) (iii) ((-9)/(5)xx (-10)/(3)) xx (21)/(-4) = (-9)/(5) xx ((-10)/(3) xx (21)/(-4))

Simplify and write the answer in exponential form. a. (4^(3)xx10^(5))/(2^(3)xx5^(4)) b. ((6^(4))^(4)xx5^(8)xxa^(6))/(9^(9)xx10^(6)) c. (15^(32)xx12^(15)xx54^(4))/(25^(12)xx18^(8)xx9^(2)) d. (8^(4)xx6^(4))/(2^(8)xx3^(3)) e. (8^(12)xx(9^(2))^(5)xx5^(6))/(6^(9)xx15^(4)) f. (21^(16)xx70^(8)xx36^(15))/(49^(4)xx15^(5)xx24^(6))

Simplify: ((13)/9xx(-15)/2)+\ (7/3xx8/5)+(3/5xx1/2)

Simplify: (i) 5xx3/(20)xx2/(15)   (ii) (14)/(25)xx(35)/(51)xx(34)/(49)