The value of determinant `|[ma,m^(3)+a^(3),1],[mb,m^(3)+b^(3),1],[mc,m^(3)+c^(3),1]|` is

1 m^(3) =____ cm^(3) .

Find the value of m so that (-3)^m^(+1)xx(-3)^5=(-3)^7

Prove that the value of each the following determinants zero: (a)|{:(a_(1),,la_(1)+mb_(1),,b_(1)),(a_(2),,la_(2)+mb_(2),,b_(2)),( a_(3),,la_(3)+mb_(3),,b_(3)):}|

Prove that the value of each the following determinants is zero: |[a_1,l a_1+mb_1,b_1],[a_2,l a_2+mb_2,b_2],[a_3,l a_3+m b_3,b_3]|

find the value of m, if (-3)^(m+1)*(-3)^(1)=(-3)^(7)

The value of sum_(r=1)^(3m)(-3)^(r-1).6mC_(2r-1) is

The value of sum_(r=0)^(3m)(-1)^(r).6mC_(2r) is

The value of (2^(m).3^(2m-n).5^(m+n+3).6^(n+1))/(6^(m+1).10^(n+3).15^(m))