2. Exponents Tutorial 3f

3. a number, letter, or algebraic expression written above and to the right of another number, letter, or expression called the base. In the expressions x 2 and x n, the number 2 and the letter n are the exponents respectively of the base x. An Exponent is : x 2 base exponent

4. The exponent indicates the power to which the base is to be raised. This means that if you have x 3 then you would multiply x by itself three times : x 3 = x  x  x or 3 3 = 3  3  3 Any number to zero power (4 0 ) equals 1.

5. Exponent Rules If two numbers having the same bases are being multiplied, add the exponents of those numbers. x 2  x 3 = x (2+3) = x 5 or 3 2  3 3 = 3 (2+3) = 3 5 or 7 5  7 4 = 7 9

6. Exponent Rules If two numbers having the same bases are being divided, subtract the exponent of the 2nd term from the 1 st term. x 3 ÷ x 2 = x (3-2) = x 1 or 5 3 ÷ 5 2 = 5 (3-2) = 5 1 or 2 7 ÷ 2 3 = 2 4

7. Exponent Rules If an exponent is being raised by another exponent then multiply the exponents. (x 3 ) 2 = x 3  x 3 = x 6 or (6 2 ) 4 = 6 8

8. Answer the Following Questions: 1. 2 3 2 is the base exponent 2. 3 10 10 is the base exponent 3. 3 x x is the base exponent 3. 12 1 12 is the base exponent

9. Answer the Following Questions: 1. 10 2 = 100 20 10 2. 3 (1 + 2) = 312 6 27 2. 2 2 = 12 8 4 2. 99 0 = 14980 1 99

10. Answer the Following Questions: 1. 10 2  10 3 = 10 5 10 1 10 6 = 4040 4242 4141 = 12 67 12 42 12 13 = 6 27 9 2. 4 6 ÷ 4 4 3. (12 6 ) 7 4. (3 2 ) 1

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