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In this section of text you will learn about powers and rules for manipulating them through a number of worked examples. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature. use negative and fractional indices. 3. 4. 5. The fourth rule: a0 = 1. 6.
A power is a product of repeated factors. The base of a power is the common factor. The exponent of a power indicates the number of times the base is used as a factor. ( 2 — 5) 3 = 2 — 5 ⋅ 2 — ⋅ 2 — 5 power 2 — is used as factor 5 3 times Example 1 Write each product using exponents. a. (−9) ⋅ (−9) ⋅ (−9) ⋅ (−9) ⋅ ...
In this chapter, you will explore the use of exponents in mathematical expressions. A spider map can help you understand and connect new terms and concepts. It is designed to be used throughout the chapter. Create a spider map in your math journal or notebook. As you work through the chapter, complete the map.
In this section of text you will learn about powers and rules for manipulating them through a number of worked examples. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature. use negative and fractional indices. 3. The second rule: 4. The third rule: 5.
There are two ways to go to any base from base 10: (A) The Greedy Algorithm: determines notation from left to right. • Find the highest power of the base that fits into the given number (can fit more than once!) • Subtract this power from the number. You can subtract this power as many times as it fits. • Repeat with the new number.
Understand exponents and rational numbers. I can evaluate a power. I can evaluate expressions involving whole number bases. can evaluate expressions involving rational number bases. I can solve real-life problems involving powers. Mathematicians who apply mathematics to real-world contexts connect mathematical concepts to everyday experiences.
Power is an expression that represents the repeated multiplication of value or integer. In general, a n is a power where a is the base and n is the exponent. For example, 6 3 is the power which shows that 6 is multiplied by itself three times.