Why do we have to learn about the exponent laws said Louis? Because they are important said Davion. Take the first rule for example X^1=1, now why do you think that is Louis? Because its not being multiplied by anything. What about the second rule X^0=1? It's the same since its not being multiplied by anything.
So what about the third and fourth rules said Louis. The third rule is X^-a=1/X^a. So that means 2^-3=1/2^3 right? You're absolutely right Louis, but tell my why? its because 1/2^3=1/2*2*2 which would give you the same answer. Rule 4 is a little different since you multiply and combine exponents (X^2)^3=X^2*3. It's actually easy i just think of it as grouping.
The 5th rule is kind of similar. If you have X^2*X^3=X^23. So what you're saying is if they have the same base but different exponents you can combine them by adding their exponents. yes that's exactly what i'm saying. tell me what to do for the 6th rule if i had X^2/X^3. you would subtract the exponents as long as they have the same base so it would be X^2-3=X^-1.
You are improving quite well Louis. Thanks Davion you know what they say the student becomes the master. Well let's test that with the final 2 rules (XY)^2=X^2 Y^2. all you're doing is redistributing the exponent to both bases to simplify the equation. The 6th rule (X/Y)^2=X^2/Y^2. It's similar to the 5th where you redistribute the exponents to simplify the equation.
Hey thanks for helping me out Davion i really appreciate it. Yeah bro don't worry about it i just hope we both pass on our upcoming math test. With all this practice we did i can't see how we would fail.