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VAL JOSEPH DE GUZMAN

EXPONENTS. VAL JOSEPH DE GUZMAN. Laws of Exponents. First Law of exponent. It is in the form “ a n a m ” where both n and m are exponents. Solution: a n+m Example:2 3 (2 2 ) =2 3+2 =2 5 =32. Second Law of Exponents. It is in the form “ a n /a m ”.

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VAL JOSEPH DE GUZMAN

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  1. EXPONENTS VAL JOSEPH DE GUZMAN

  2. Laws of Exponents

  3. First Law of exponent It is in the form “anam” where both n and m are exponents. Solution: an+m Example:23(22) =23+2 =25 =32

  4. Second Law of Exponents It is in the form “an/am”. Solution: a. If n is greater than m use an-m b. If n is less than m use 1/an-m Example:23/22 =23-2 =2

  5. Third Law of Exponents It is in the form “(an)m”. Solution:anm Example:(32)4 =32(4) =38 =6561

  6. Fourth Law of Exponents If you had encounter an equation like this “(anbm)r”. Solution:arnbrm Example:(43 x 32)2 =46 x 34 =4096 x 81 =331,776

  7. Activity Simplify each of the following. 1. b2 X b3 7. (xy3)(x2yz3)3 2. c4/c3 8.a4b2c3/abc 3. (42 x 32)2 9. a2b2/a2b2 4. (a3b2)(a2b) 10. 4a3b4/2ab 5. (x2y3)2 11. (a6b2)6 6. B2 x aB2 12. 2a2 x a4

  8. Negative Exponents

  9. Equations like “a-1” is the same as “1/a”. Example:1) 2-2 =1/22 =1/4 2) 3-4 =1/34 =1/81

  10. Activity Transform each equation into an equation with a positive exponent. 1. 5-4 5. (ab3)-1 2. (3-2)-3 6. xy-3 3. (1/5)-3 7. (a+b)-2(a-2+b-2) 4. 2-1+3-2

  11. Fractional Exponents

  12. An expression like “an/m” is the same as the the expression “ m√an Example:1)33/2 =√33 =√27 2)82/3 =3√82 =3√64 =4

  13. Activity Express each with positive exponents. • 91/2 • 9-1/2 • (a/b)-1/2 • (x2y3)1/4

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