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" 1."x^(3)+27...

" 1."x^(3)+27

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Show that: (i)27 ^(1/3)X\ 64 ^(1/3)=\ (27X 64) ^(1/3) (ii)(64X\ 729 )^(1/3)=\ 64 ^(1/3)X\ 729 ^(1/3) (iii) (-125 X\ 216 )^(1/3) = \ -125 ^(1/3) X \ 216 ^(1/3) (iv) (-125X-1000)^(1/3)=-125 ^(1/3)X\ -1000^(1/3)

lim_(x to 27) (x^(1//3) + 3) (X^(1//3) - 3))/(x - 27) is equal to

lim_(x to 27) (x^(1//3) + 3) (X^(1//3) - 3))/(x - 27) is equal to

d/(dx){cos^(-1)((4x^3)/27-x)}=

If x ne 0 and 3x +(1)/(3x)= 8, find the value of :27 x^(3) + ( 1)/(27x^(3))