`x^(m)-:x^(n)` is equal to:

If x be any non zero integer and m, n be negative integers. Then x^(m)xxx^(n) is equal to

If m,n in N, then the value of int_(a)^(b)(x-a)^(m)(b-x)^(n)dx is equal to

If lim_(x rarr0)(1-cos(1-cos((x)/(2))))/(2^(m)x^(n)) is equal to the left hand derivative of f(x)=e^(-(|x|)) at x=0, then the value of |n+m| is

State whether the given statements are true or false. (x^(m))^(n) is equal to x^(m+n)

lim_(x to a) (x^(m)-a^(m))/(x^(n)-a^(n)) is equal to

If x be any integer different from zero and m, n be any integers, then (x^(m))^(n) is equal to

lim_(xrarr1)(x^(m)-1)/(x^(n)-1) is equal to

lim_(xrarr1)(x^(m)-1)/(x^(n)-1) is equal to

If m, n in N , then l_(m n) = int_(0)^(1) x^(m) (1-x)^(n) dx is equal to