Let `a` is a real number satisfying `a^3+1/(a^3)=18` . Then the value of `a^4+1/(a^4)-39` is ____.

Let z be a complex number satisfying |z+16|=4|z+1| . Then

There exists a positive real number of x satisfying "cos"(tan^(-1)x)=xdot Then the value of cos^(-1)((x^2)/2)i s

Find all real numbers satisfying 4^x - 3(2^(x+2))+ 2^5 = 0

If a positive real number x satisfy the condition x^(5)-x^(3)+ x=1 then the minimum value of x^(6) is equal to

If t is a real number satisfying the equation 2t^3-9t^2+30-a=0, then find the values of the parameter a for which the equation x+1/x=t gives six real and distinct values of x .

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|dot

The value of (1/3^(5))^(4) is .........

In the set of real number R, an operation ** is defined by a**b=(a^2+b) . Then the value of (3**4)**5 is ….....

In the set of real number R, an operation ** is defined by a**b=(a+b^2) . Then the value of (3**4)**5 is ….....