exam Maths Puzzle Numerical Ability

3 radical 25 over 4

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exam Other Question

Please help me solve this problem:
2^n / 1000 < 1000n^2

I am trying to use the log base 2 to solve but keep on getting stuck.
Please help Simplify: (25)1/2(27)-1/3
note- the 1/2 and -1/3 are exponents