If m and p are positive integer and `(2sqrt(2))^(m)=32^(n)`, what is the value of `(p)/(m)`?

If m and n are positive integers and (2^(18))(5^m) = (20^n) , what is the value of m?

If m and n are positive integers such that m^(n) = 1331 , then what is the value of ( m-1)^(n-1) ?

If m , n are positive integers and m+nsqrt(2)=sqrt(41+24sqrt(2)) , then (m+n) is equal to

If m , n are positive integers and m+nsqrt(2)=sqrt(41+24sqrt(2)) , then (m+n) is equal to

3.If m o* n are positive integers such that m^(2)+2n=n^(2)+2m+5, then the value of n is

If m,n are the positive integers (n gt 1) such that m^n = 121 , then value of (m-1)^(n +1) is :

If 1/(sqrt(2011+sqrt(2011^2-1)))=sqrtm-sqrtn where m and n are positive integers , what is the value of m + n.

If m and n are positive integers and (m – n) is an even number, then (m^(2) - n^(2)) will be always divisible by