on What I learned this week was the fractional exponent law, or at least that’s what I enjoyed the most out of this week, because although it was simple, I learned something completely foreign to me, which is really nice to me, cause I love being able to do things I couldn’t do before, How you simplifiy equations like 9^ 3/2 is by putting the denominator as the root and putting the numerator as the power, so 9^3/2 would simplify to root 9 ^ 3 which equals 27.
on This week the thing that I enjoyed learning the most was the exponent laws. I liked learning about the exponent laws because you can do them in any particular order, so it adds some type of personal preference which you dont typically get in other parts of math. I also like how you take a big gross looking expression and make it neat, tidy and small, thats more of a personal thing but It is satisfying to see such an easy to say and read expression. The only part that I found particularily difficult is the division rule when the the bigger exponent is on the bottom of a fraction but I figured it out pretty quickly so I had no problems past that.
on What I learned most about this week was prime factorization, but not so much about actually prime factoring but how it ties in with doing work with radicals and lcm and gcf, because you always have to use it to find those things reliably which is pretty interesting because the way I learned those before made it so it more a trial and error type of thing checking every multiple rather than doing an actual formula to find it. This, for me, makes it way easier because instead of putting in a lot of tedious work I can just use a simple formula that doesn’t take very long to do, Another thing that I found interesting about Prime factorization is that every single number has a way to break down into prime numbers, which makes sense and is obvious but I’ve never thought about it before so its pretty interesting.
