What I Have Learned About Grade 9 Exponents
What is an exponent?
Exponents are lazy that is the first thing about them! but the real explanation of an exponent its the number of times its being multiplied by itself, for example 2 is the base and its to the 3 power= 
these are not the same but may look alike
Since it has a negative sign the answer would not be the same as the second one so negative 5 to the power of 2 would be -25. there are actually two different types of negative numbers, one was the one in the example and the second one is where its in the parentheses.
$latex (-5)^2= 25
Even though you may think it should be the same thing as the one in the top but its really not! It can get confusing at times but in brackets its gonna be a positive when its not in brackets it is a negative. Its because exponents are LAZY! It knows its there but wont take it if it doesn’t have to so when there is a negative with no parentheses then it wont take the negative fraction. But, when there is parentheses then it knows it has to take it but doesn’t want to. It was confusing at first but then when you get used to it you will get it. so really exponents are the number of times it being multiplied by itself, it has the base the power those are the two main things in a exponent
The difference between evaluating and simplifying?
When you simplify you use the order of operations and get it the smallest number possible. It means to simplify and do the question but leaving it in a exponent
To evaluate an expression sometimes variables are given to you and you evaluate the variable.
you really just have to do it and simplify as much as you can at the end
Division+ multiplication law and why it works?
The division law you would have to subtract the equation to get the answer I know you thing you would have to divide because it says to divide but it’s actually subtract
The multiplication law is different just like the other ones you add the exponents together when the bases are the same as you can see in my example I have the 3 + 4 = 7 so the answer would be 
Power of power law and why it works?
Power laws is when you have an exponent on the out side and it gets multiplied together like the example
So for power law you just times the exponents together even thought it does not say anything to do with multiplication but you have to times the 2 and the 4 to get your answer which is 6 or if its a negative question it would be a -6. I like power law because all you have to do is multiply quickly and you have your answer
Applications of exponents
Exponents are used in many ways multiplying a number by itself
it has the power law that we just talked about
it has the multiple law
and the division law
One more thing you learned about exponents?
exponents are LAZY! I didn’t know what that meant first but then when they explained it I knew what and why it was super easy and fun to do. So when there is no brackets it only like the positive number even when its negative it *pretends* its a positive. Another thing that I really like and was really cool was anything to the power of 0 = 1!! Even if its a big and huge number and if you see a zero up there then you already know what the answer will be!
But you can only do it with the zero you cant do it with the other ones zero is the magical number and can get the question answer quickly.
those were the things that were very cool!