Reasoning and proof unit test

How

do I explain this??

What is the pattern in the values as the exponents increase?

What is the quotient of m^6/5 ÷ 5/m^2? assume m does not equal pl

For the quadratic function [tex]y=(x+4)^2-1[/tex] , do the following: a) rewrite the function in the standard form, b) rewrite the function in intercept form, c) find the vertex, d) find the y-intercept, e) find the x-intercepts.