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Exercises

1. Solve the following problems with exponents
a. 25 b. 3-3 c. 115 d. 02 e. 223/4

2. Solve the following problems with roots
a. (sqrt)169 b. (sqrt)50 c. 3(sqrt)82 (Cube Root of 82)

3. Write the following numbers using powers of 10
a. 10000 b. 0.0001 c. 1

4. Write the following numbers using scientific notation
a. 5,603 b. 0.000002 c. 23

5. Rewrite the following statements using logarithms:
a. 4-1=¼ b. 103=1000 c. 4½=2

6. Evaluate the following logarithms
a. log216 b. log88 c.log3(1/27)

7. Solve the following and write the answer using exponential notation
a. 25Ã-22 b. 36÷33 c. 43Ã-27 d. (23)4

8. The population of a country is written as 5.33 Ã- 106 people. How many people live there?

9. You have to put 15 books on each shelf. You are assigned 15 shelves. a) Write the number of books you would shelve using exponents. b) Calculate the number of books you would shelve.

Solution Summary

The solution provides detailed explanation how to solve questions related to exponent, power and logarithm.

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