Exponents and Fractions

An Exponent is the small number at the top right corner of a number. A fraction is when you divide because the line in the middle means to divide. Whenever your multiplying variables add the exponents. Whenever your dividing variables subtract the exponents. You do both of these when the variables are the same.
Keep the first fraction
Flip the second one
Change the sign to a multiplication
EX of mult: d squared times d cubed = d to the power of 4
EX of divi: a cubed divided by a squared = a to the power of 1
EX of KFC: 3 4/5 divided by 2/5 19/5 times 5/2 = 95/10 = 9.5 or 9 1/2

Laws of Exponent

The Exponent of a number says how many times to use the number in a multiplication. Whenever you have a negative number as an exponent the steps are...First make a fraction. Second you put both the base and exponent in the denominator and the exp. becomes a positive. Finally if there is nothing in the numerator, put a 1. you can also do the opposite.
EX: 2 negative cubed = 1/2 cubed.
EX: 1/3 squared = 3 negative squared

Fractions

The top of the fraction is called the numerator and the bottom of the fraction is the denominator. An Improper Fraction is when the num. is bigger than the den.. A Mixed Fraction is when their is a whole number and a fraction.
EX of Mix.:  1 3/8
EX of Imp.;  8/5

Ratio

A Ratio is a comparison of 2 or more quantities.

EX:  3:1 = 3 to 1 = 3/1

EX:  45% = 45/100 = 45 = 45 to 100

Exponents

Today was easy because it was easy to learn about negative exponents. First step of doing negative exponent is to make a fraction. Second you put both base and exp. in the denominator and the exp. becomes positive. Finally you put a 1 in the numerator. We also learned how to make a fraction to an exponent. For ex: 1/3 to the power of 2 equals 3 to the power of -2.