exam Maths Puzzle Numerical Ability

Solve the following equations algebraically.

x3/2=27

3/4=1-3x-2/x+1

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exam Other Question

need to formulate a conjecture for the series

L = 1^k + 2^k + 3^k +...+ n^k

^ = to the power of

thanks. I was not sure what type of problem this would be so I put what i thought was close.

Which of the following relations represents a function?
a. (0,4) (0,-3) (1,-2)
b. (1,1) (1,2) (1,3)
c. (2,-1) (2,1) (2,3)
d. (-1,2) (1,2) (3,2)