When written out completely `16^2011` has m digits and `625^2011` has n digits. Find the value of `(m + n).`

If m = 3 and n = 2 find the value of m^n-n^m

If m alpha n and when m = 154 n = 7 . Find the value of m, when n = 14.

When a^m cdot a^n = a^(mn) ,find the value of n(m-2) + m(n -2) is :

A natural number a has four digits and a^(2) ends with the same four digits as that of a.Find the value of (10,080-a).

Suppose ,m divided by n , then quotient q and remainder r {:("n)m(q"),(" "-), (" "-), (" "r) , (" "):} or m= nq + r , AA m,n,q, r in 1 and n ne 0 If a is the remainder when 5^(40) us divided by 11 and b is the remainder when 2^(2011) is divided by 17 , the value of a + b is

Suppose ,m divided by n , then quotient q and remainder r {:("n)m(q"),(" "-), (" "-), (" "r) , (" "):} or m= nq + r , AA m,n,q, r in 1 and n ne 0 If a is the remainder when 5^(40) us divided by 11 and b is the remainder when 2^(2011) is divided by 17 , the value of a + b is

Let a two-digit number be k times the sum of its digits. If the number formed by interchanging the digits is m times the sum of the digits, then the value of m is

An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers are to be formed using only the three digits 2,5 and 7. Find the smallest value of n for which this is possible.