(10v^7d) (4vd^10) (2v^3d^7) Two methods: the first is to multiply two terms together and then multiply that product by the third term.
=(40v^8d^11)(2v^3d^7)
= 80v^11d^18
the other method would be to multiply all like terms together to get the answer
=(10 x 4 x 2)(v^7 x v x v^3)(d x d^10 x d^7)
of course v = v^1 and d = d^1
=(10 x 4 x 2)(v^7 x v^1 x v^3)(d^1 x d^10 x d^7)
=80 v^(7+1+3) d^(1+10+7)
= 80 v^11 d^18
(I opened up the spacing in the answer for clarity.)