Math Question Help

Question

2 to what power double divides -84? Use correct notation to show how you know. 

Answer 1

2^1 divides -84

-84/2 = -42

2^(-1) divides -84

-84/(1/2) =-168

2^-1 = 1/2^1 = 1/2

2^2 divides -84,

-84/4 = -21

2^(-2) divides -84,

=84/(1/4) = -336

2^(-2) = 1/2^2 = 1/4

2^0 divides -84, -84/1 -84

any number to the zero power = 1

2 to the -2, -1, 0, , 1 or 2 power all divide -84, with no remainder