Find the value of `[(frac(1)(3))^(-2)-(frac(1)(2))^(-3)]-:(frac(1)(4))^(-2)`

Find the value of sin((1)/(2) cot^(-1) (-(3)/(4)))

Find the value of sin(1/2cot^(-1)(-3/4))

Find the value of : (1+ isqrt(3))^(2) + (1-isqrt(3))^(2)

Find the value of 1). (-3)+(-8)-:(-4)-2xx(-2) 2). (-3)xx(-4)-:(-2)+(-1)

Find the Value of (1/3)^-2+(1/4)^-2+(1/5)^-2

The value of int frac{dx}{(x+2)(x+3)

The value of (sin frac(pi)(8) + i cos frac(pi)(8))^(8)/((sin frac(pi)(8) - i cos frac(pi)(8))^(8)) is :

Find the values of :- (1) (8)^(1//3) (2) (64)^(1//2) (3) 4^(5//2) (4) (36)^(3//2) (5) (27)^(2//3)

Given |vec(A)_(1)|=2,|vec(A)_(2)|=3 and |vec(A)_(1)+vec(A)_(2)|=3 . Find the value of (vec(A)_(1)+2vec(A)_(2)).(3vec(A)_(1)-4vec(A)_(2)) .

Find the value of. (i) (3^@+4^(-1)) xx 2^2 (ii) (2^(-1)xx 4^(-1))-: 2^(-1) (iii) (1/2)^-2 + (1/3)^-2 + (1/4)^-2 (iv) (3^-1 + 4^-1+ 5^(-1))^0 (v) {((-2)/3)^-2}^2