FC: By: Aravind | The Book of Exponents
1: TABLE OF CONTENTS | I. Picture Of Exponent....... Pg.1 II. Product Property of Exponents.......Pg.2 III.Quotient Property of Exponents...... Pg.3 IV. Power of a Power Property of......... Pg.4 Exponents V. Negative Exponents........... Pg.5 VI. Zero Property of Exponents......... Pg.6
2: This is an exponent. As you can see The 5 in this picture is the power and the base number. The number on top is the exponent as shown in the example. | Pg.1
3: PRODUCT PROPERTY OF EXPONENTS | Definition: The product of two powers with the same base raised to the sum of the exponents. This means that when you have two nonzero bases in multiplication, you just keep the base the same and add the exponents together. Way to Remember: A way to remember this is by adding the exponents immediately after you see two nonzero bases the same. | Pg.2
4: Quotient Property of Exponents | Definition: The quotient of two nonzero powers with the same base equals the base raised to the difference of the exponents. This means that when you are dividing the same bases, you can simply subtract the exponents which will then give you your final answer. There are 2 types. Negative and Positive Quotient Properties. Ways to Remember: You could remember this easy Property by subtracting the exponents the second you see the same nonzero bases. | Pg. 3
5: Power of a Power Property of Exponents | Definition: A power raised to another power equals that base raised to the product of the exponents. This means that if you have a base in parentheses and you have an exponent outside, it is just the exponent inside times the exponent outside. Basically it is (a^m)x^n. It could also mean the base multiplied by itself as many times as the exponent. Ways to Remember: You can remember this property by multiplying the exponents on the inside and outside. | Pg. 4
6: Negative Exponents | Definition: The quotient raised to a negative power equals the reciprocal of the quotient raised to the positive power. This means that when you have a base inside parentheses with the negative exponent on the outside you simply switch the numerator and denominator and then make the exponent positive Then you multiply the exponent to the numerator and denominator. After this is finished you should have the positive reciprocal of the negative base with the positive exponent on top of the numerator and denominator. | Pg. 5
7: Picture | Visual showing a way to remember negative exponents!!
8: Zero Property of Exponents | Definition: Any number to the power of 0 is equaled to 1. This means that if you have a number and there is an exponent of 0 on top of it, then it is equaled to 1. Way to Remember This: You can remember this property by thinking that there is a 1 when it is 0. | Pg. 6
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