Question

Find the quotient.

4z^a+2 ÷ (-8z^a-2)


-1/2z

-1/2z^2a

-1/2z^4

Answer 1

The answer is
`-( z^(4) )/(2)`


`(4 z^(a+2) )/(-8 z^(a-2) ) = (4)/(-8) * (z^(a+2) )/( z^(a-2) ) =- (1)/(2) *(z^(a+2) )/( z^(a-2) ) \\ \\ (x ^(a) )/( x^(b) ) = x^(a-b) \\ \\ - (1)/(2) *(z^(a+2) )/( z^(a-2) ) =- (1)/(2) * z^(a + 2 - (a - 2)) =- (1)/(2) * z^(a + 2 - a + 2) =- (1)/(2) * z^(4) = -( z^(4) )/(2)`