If `(2^(m+n))/(2^(m-n))=16 and a=2^(1/10)` then `((a^(2m+n-p))^2)/((a^(m-2n+2p)- 1)^-1)=`

If (2^(m+n))/(2^(n-m))=16,(3^(p))/(3^(n))=81 and a=2^(1//10) then (a^(2m+n-p))/((a^(m-2n+2p))^(-1))=

lim_(x rarr0)((2^(m)+x)^((1)/(m))-(2^(n)+x)^((1)/(n)))/(x) is equal to (1)/(m2^(m))-(1)/(n2^(n)) (b) (1)/(m2^(m))+(1)/(n2^(n))(1)/(m2^(-m))-(1)/(n2^(-n))( d) (1)/(m2^(-m))+(1)/(n2^(-n))

If m = sqrtfrac(n)(n+1/2) and m = 1/2, then n =

IF ""^((m+n))P_(2) =90 ,""^((m-n))P_(2) =30 then (m,n)=

If ^(m+n)P_2=90 and ^(m-n)P_2=30 find m and n

(m+n)P_(2)=56,^(m-n)P_(2)=30 then

("lim")_(xto0)((2^m+x)^(1/m)-(2^n+x)^(1/n))/x is equal t o (a) 2 (1/(m2^m)-1/(n2^n))' (b) (1/(m2^m)+1/(n2^n)) (c) 1/(m2^(-m))-1/(n2^(-n)) (d) 1/(m2^(-m))+1/(n2^(-n))

Find the value of ( a^( m^2 - n^2 ))^ (( m^2 + mn + n^2 )/( m + n )) times ( a^( n^2 - p^2 ))^ (( n^2 + np + p^2 )/( n + p ))times ( a^( p^2 - m^2 ))^ (( p^2 + mp + m^2 )/( p + m )) is ( a ) 0 ( b ) 1 ( c ) a^3 ( d ) a