This week we learned all about rational exponents. More specifically we learned how to change an power that has a exponent thats a fraction, to a root. These two things, a root and a exponent can be equal to each other. At first I was confused about where the denominator and the numerator go on the root. Which one is the index and what one stays an exponent. The phrase, flower power really helped me with this. Because in a flower the root is on the bottom, therefor the denominator, the number at the bottom of the fraction is the root/index .
root= bottom number of fraction
exponent= top number of fraction
The last part to this is if the fraction thats the exponent is negative. Because last week it was all about negative whole numbers as exponents, now we have negative fractions. There really isn’t much to do when the fraction as a negative. all you have to remember is that the root is never the negative one, it is always the exponent.
me. The coolest thing I learned this week was hard to choose because there was so many. Finally I came the conclusion that prime factorization was the biggest thing I learned. Prime factorization is one of the key parts to this chapter, used in almost all questions so far. The idea that you can break down a number by using prime factorization but it still means the same thing was the main thing that was cool to me.