`(2/5)^(-2)xx(2/5)^(-2)xx(2/5)^(-2)`

(1/4)^(-10)xx(2/5)^(-10)

Evaluate each of the following: (i)\ 2^(55)xx\ 2^(60)-\ 2^(97)xx\ 2^(18) (ii)\ (2/3)^2xx\ (2/5)^(-3\ )xx\ (3/5)^2

Simplify and write the answer in the exponential form. (i) (2^5 -: 2^8)^5 xx 2^(-5) (ii) (-4)^(-3) xx (5)^(-3) xx (-5)^(-3) (iii) 1/8 xx (3)^(-3) (iv) (-3)64 xx (5/3)^4

(-1)xx(-2)xx(-3)xx(-4)xx-5

Simplify (i) {(1/3)^(-2) - (1/2)^(-3)} -: (1/4)^(-2). (ii) (5/8)^(-7) xx (8/5)^(-5).

Evaluate : 5^(-4)xx(125)^((5)/(3))+(25)^(-(1)/(2))

Simplify and express the result as a rational number in each case : ((2)/(5))^(2) xx ( (2)/(5))^(3)

Simplify (8^(3a)xx2^(5)xx2^(2a))/(4xx2^(11a)xx2^(-2a))

Find the value of n : (2^(3)xx5^(n+1)xx10^(2)xx5^(n-1))/(125xx5^(n-2)xx2^(7))=(25)/(4)

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