The value of `[2/3]^3xx[1/2]^4` is

The value of (-2)^(2xx3-1)

The value of 2xx2^(1//2)xx2^(1//4)xx2^(1//8)xx ….xx oo is (i) 4 (ii) sqrt(2) (iii) 2sqrt(2) (iv) 8

If 5^(x +1) = 25^(x-2) , find the value of 3^(x-3) xx 2^(3-x) .

Let A be a matrix of order 3xx3 such that |A|=3 . Let B=3A^(-1) and C =(adjA)/(2) , then the value of |A^(2)B^(3)C^(4)| is

The value of 1xx2xx3xx4+2xx3xx4xx5+3xx4xx5xx6+…+n(n +1) (n +2) (n +3) , is

Find the value of the 2^(3)xx (-3)^(2) .

Observe the following pattern (1xx2)+(2xx3)=(2xx3xx4)/3, (1xx2)+(2xx3)+(3xx4)=(3xx4xx5)/3, (1xx2)+(2xx3)+(3xx4)+(4xx5)=(4xx5xx6)/3 and find the value of \ (1xx2)+(2xx3)+(3xx4)+(4xx5)+(5xx6)

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

If a ,b ,c ,d in R^+ such that a+b+c=18 , then the maximum value of a^2b^3c^4 is equal to a. 2^(18)xx3^2 b. 2^(18)xx3^3 c. 2^(19)xx3^2 d. 2^(19)xx3^3

The value of 6+ log_(3//2) (1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sqrt2)...)))) is ________.