Evaluate the following : `(1/2)^5*((-2)/3)^4*(3/5)^(-1)`

Evaluate each of the following: ( i ) ((2)/(11))^(4)*((11)/(3))^(2)*((3)/(2))^(3) (ii) ((1)/(2))^(5)*((-2)/(3))^(4)*((3)/(5))^(-1)

Evaluate each of the following: ((2)/(11))^(4)x((11)/(3))^(2)x((3)/(2))^(3)((1)/(2))^(5)x((-2)/(3))^(4)x((3)/(5))^(-1)

Evaluate the following : [[1,4,2],[5,-2,3]][[2,-4],[1,-3],[4, 0]]

Observe the following pattern (1x2)+(2x3)=(2x3x4)/(3)(1x2)+(2x3)+(3x4)=(3x4x5)/(3)(1x2)+(2x3)+(3x4)+(4x5)=(4x5x6)/(3) and find the of (1x2)+(2x3)+(3x4)+(4x5)+(5x6)

Evaluate the following determinants : |{:(3,-4,5),(1,1,-2),(2,3,1):}|

Verify the following : (5/4+(-1)/2)+3/2=5/4+((-1)/2+(3)/2)

Evaluate the following: |[1^2, 2^2, 3^2],[2^2, 3^2, 4^2],[3^2, 4^2, 5^2]|

Find the values of following . (a) (tan^(2)37(1)/(7)^(@)+1)/(tan^(2)37(1)/(2)^(@)-1) (b) (3 tan^(2)5^(@)-1)/(3tan5^(@)-tan^(3)5^(@))