IA_GPS_3 - d 25 = e 3 8 = f 16 9 = 2 Apply the product rule...

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R0907 a.s. http://faculty.valencia.cc.fl.us/ashaw INTERMEDIATE ALGEBRA GPS #3 1.3 INTEGER EXPONENTS NAME: Useful Definitions and Rules: For all integers m and n and all real numbers a and b : * Exponential Expression: 4 2 2 2 2 2 = ! ! ! (4 factors of 2), 5 3 3 3 3 3 3 = ! ! ! ! (5 factors of 3), 5 a a a a a a = ! ! ! ! (5 factors of a), ... n a a a a a a a = ! ! ! ! (n factors of a) * Product Rule: m n m n a a a + ! = * Zero Exponent: 0 1( 0) a a = ! * Quotient Rule: m m n n a a a ! = * Negative Exponent: 1 ( 0) n n a a a ! = " * Power Rules: ( ) m n mn a a = ; ( ) m m m ab a b = ( 0) n n n a a b b b ! " = # $ % A number is in scientific notation when it is written as a product of a number between 1 and 10 (inclusive of 1) and an integer power of 10. For example: 10 2.35 10 ! Assume all variables represent nonzero real numbers for the following: 1. Evaluate the following: a) 3 2 = b) 4 ( 3) ! = c) 3 4 ! =
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Unformatted text preview: d) 25 = e) 3 8 = f) 16 9 = 2. Apply the product rule for exponents, if possible, in each case. a) 5 2 4 4 ! = b) 3 9 2 7 7 7 ! ! = c) 3 2 ( 4 )(6 ) x x ! = d) 5 2 (2 )( ) x y = 3. Apply the quotient rule for exponents and write each result using only positive exponents. a) 5 3 2 2 = b) 2 8 7 7 ! = c) 8 3 x x = d) 4 2 y y ! = 4. Use one or more power rules to simplify each expression. a) 5 2 ( ) y = b) 2 3 ( ) x ! = c) 4 (3 ) x = d) 2 6 5 ! " = # $ % & ’ 5. Evaluate and simplify each expression so that no negative exponents appear in the final result a) ( 7) ! ! = b) 2 x y ! = c) 1 4 (2 ) k ! = d) 2 2 3 6 x x ! ! " # = $ % & ’ 6. Write each number in scientific notation. a) 3600 = b) 790,000 ! = c) 0.000896 = d) 0.0000555 ! =...
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This note was uploaded on 10/18/2011 for the course MAC 1103 taught by Professor Shaw during the Summer '11 term at Valencia.

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