Answer
$128$
Work Step by Step
The Multiplication Rule says that if an event $e_1$ can be performed in $n_1$ ways and an event $e_2$ can be performed in $n_2$ ways, then there are $n_1n_2$ ways of performing them together. This can easily be extended to $n$ events.
Here we have $7$ games and $2$ outcomes for each game, so the total number of outcomes is $2^7=128$