Which property of exponents would be most effective to simplify this expression?

45m^(-6)p^(2)v^(12)/15m^(-12)p^(8 )v^(-4)
A). products of powers

B).Quotient of powers

C).Power of a power

D).rational exponent

E).negative exponent

One line passes through (-7,-4) and (5,4) . another line passes through the point (-4,6) and (6,-9)

Someone this asap for a group of students attends a basketball game. * the group buys x hot dogs at the concession stand for $2 each. * the group buys y drinks at the concession stand for $3 each. the group buys 29 items at the concession stand for a total of $70. how many hot dogs did the group buy?

What is the value of x in the following equation? -3x-2=2x+8