Please, post just one problem at a time, or (if you post more than one), indicate which one you want to focus on first. Even more important, please do whatever you can to get started on each problem; I'm sure you know at least some basics.
What does "intersecting" mean? Look it up if you're not sure.
Then what would "two intersecting lines" look like? Draw the graph, or at least explain in words what the graph would look like.
I disagree. The first one is false. No exponent rules apply if the bases AND the exponents are different.
The second one is true. Bases are the sane so you add exponents. You get 3 to the -5 power. Written with positive exponents it’s 1/3 to the 5.
Order of Operation is commonly referred to as PEMDAS, an acronym for "Please excuse my dear aunt Sally," which references the order in which operations should be calculated when solving a math problem.
P = parentheses
E = exponent
M = multiply
D = divide
A = add
S = subtract
So you don't always have all of these components, but you consider the ones present in the problem in front of you. If there is no multiplication, but there is division and a set of parentheses, then you FIRST solve what's inside the parentheses, then you divide. If you have some examples, I'll show you.