(16^(5/4)alpha(8)^(4/3))/((25)^(3/2))alpha(243)^(3/5)

Simplify: (0.001)^((1)/(3))( ii) ((25)^((3)/(2))x(243)^((3)/(5)))/((16)^((5)/(4))x(8)^((4)/(3)))

If alpha is a root of x^(3)-x-1=0, compute the value of alpha^(10)+2 alpha^(8)-alpha^(7)-3 alpha^(6)-3 alpha^(5)+4 alpha^(4)+2 alpha^(3)-4 alpha^(2)-6 alpha

Simplify (i) ((81)/(49))^(-(3)/(2)) (ii) (14641)^(0.25) (iii) ((32)/(243))^(-(4)/(5)) (iv) ((7776)/(243))^(-(3)/(5))

The expression 3[sin^(4)((3)/(2)pi-alpha)+sin^(4)(3 pi+alpha)]-2[sin^(6)((1)/(2)pi+alpha)+sin^(6)(5 pi-alpha)] is equal to

Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)((pi)/(2)+alpha)+sin^(6)(5pi-alpha)] .

Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)((pi)/(2)+alpha)+sin^(6)(5pi-alpha)] .

find the value of the expression 3[sin^(4)(3(pi)/(2)-alpha)+sin^(4)(3 pi+alpha)]-2[sin^(6)((pi)/(2)+alpha)+sin^(6)(5 pi-alpha)]

Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)((pi)/(2)+alpha)+sin^(6)(5pi-alpha)] .