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# Exponents Notes

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### Exponents Notes

1. 1. What is an exponent? Exponents are a shorthand way to show a larger number.
2. 2. Where is an exponent located at? Exponents are sometimes referred to as “powers.” Base 6 4 Exponent
3. 3. How do you read an exponent? A number with an exponent is said to be "raised to the power" of that exponent. Let’s look at some examples. . . .
4. 4. 32 = three raised to the second power or three squared 53 = five raised to the third power or five cubed 74 = seven raised to the fourth power
5. 5. What does an exponent mean? An exponent tells how many times the base is multiplied by itself. 7 means 7 x 7 x 7 or 343 3
6. 6. Helpful Tips Any number raised to the 0 power is equal to one! 10 = 1 0 Any number raised to the 1st power is equal to the number itself. 8 =8 1
7. 7. BE CAREFUL The most common mistake is…… 4 Why is4 x 3 = 12 = this not correct? 3 This is correct….. 4 = 4 x 4 x 4 = 64 3
8. 8. CLASS PRACTICE You do not have to write the following questions in your spiral notebook. However, you will need a scratch piece of paper to work out the problems.
9. 9. Question #1 What is the base and exponent in the following value? 56 3
10. 10. Question #2 Write in words the correct way to read the following number. 2
11. 11. Question #3 Calculate the value 2 3
12. 12. Question #4 Calculate the value 10 4
13. 13. Question #5 Calculate the value 6 2
14. 14. Question #6 Calculate the value 99 1
15. 15. Question #7 Calculate the value 5 3
16. 16. Question #8 Calculate the value 6 0
17. 17. THE END!