Fill `m^ntimesn^n=(........)^n`

^(n)C_(m)+^(n-1)C_(m)+^(n-2)C_(m)+............+^(m)C_(m)

In a upper triangular matrix ntimesn, minimum number of zeros is

If A and B are square matrices of order ntimesn , then (A-B)^(2)=

Find the square root of (m^(n^(2))n^(m^(2))a^((m+n)))/((m+n)^((m+n)^(2) (i) (m^n)(n^m)a^((m+n)/2) (ii) ((m^(n^2))(n^(m^2))a^((m+n)/2))/(m+n)^(((m+n)^2)/2) (iii) (m^n)(n^m)a^(sqrt(m+n))/(m+n)^(((m+n))) (iv)none of these

If A is a ntimesn matrix and |A|ne0 , then adj(adjA)=

if the straight line x cos alpha+y sin alpha=p touches the curve x^(m)y^(n)=a^(m+n) prove that p^(m+n)m^(m)n^(n)=(m+n)^(m+n)a^(m+n)sin^(n)alpha cos^(m)alpha

Second law If a is a non-zero rational number and mn are integers then a^(m)-:a^(n)=a^(m-n) or (a^(m))/(a^(n))=a^(m-n)

Fill in the blanks: lim_(n rarroo)( 4^n+3^n)/(4^n-3^n)=______

If the average of m numbers is n^(2) and that of n numbers is m^(2) ,then the average of (m+n) numbers is m-n (b) mn(c)m+n (d) (m)/(n)