exam Maths Puzzle Numerical Ability

I want to ask following question:
1.Given n^3<10^n for a fixed positve integer n>=1, prove that (n+1)^3<10^n+1.
I hpe you will answer my question soon.
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exam Other Question

Do anybody know how to relate radical exprerssions and their applications to everyday life? I am having trouble with this problem and I would appreciate any help:

5x^6y^2/x^8y

Thank you very much