A number n is a perfect cube only if there is an integer m such that n=__________

If n is a perfect cube then every prime factor of 'n' occurs ____________

Perfect square or square number A natural number n is called a perfect square or a square number if there exists a natural number m such that n=m^(2)

If m is the cube root of n, then n is

The number of all pairs (m, n), where m and n are positive integers, such that 1/(m)+1/(n)+1/(mn)=2/(5) is

A number n is said to be 'perfect' if the sum of all its divisors excluding n 'itself' is equal to n. An example of perfect number is :

Write true (T) or false (F) for the following statements: 392 is a perfect cube. 8640 is not a perfect cube. No cube can end with exactly two zeros. There is no perfect cube which ends in 4. For an integer a, a^3 is always greater than a^2dot If a\ a n d\ b are integers such that a^2> b^2, t h e n\ a^3> b^3dot If a divides b , then a^3 divides b^3dot If a^2 ends in 9, then a^3 ends in 7 If a^2 ends in 5, then a^3 ends in 25. If a^2 ends in an even number of zeros, then ends in and odd number zeros.