To determine To calculate: The value of the expressions ( 1 2 ) 2 ⋅ ( 3 4 ) 2 and ( 1 2 ⋅ 3 4 ) 2 , and then check these expressions simplify to the same number. If not, explain why? Explanation Procedure used: Order of Operations: 1. Perform all operations within parentheses ( ), brackets [ ], or other grouping symbols such as square roots of function bars, starting with the innermost set. 2. Evaluate any expressions with exponents. 3. Multiply or divide in order from left to right. 4. Add or subtract in order from left to right. Calculation: The given expressions are ( 1 2 ) 2 ⋅ ( 3 4 ) 2 and ( 1 2 ⋅ 3 4 ) 2 . Use above procedure in order to simplify the expression ( 1 2 ) 2 ⋅ ( 3 4 ) 2 and ( 1 2 ⋅ 3 4 ) 2 as follows. ( 1 2 ) 2 ⋅ ( 3 4 ) 2 = ( 1 2 ⋅ 1 2 ) ⋅ ( 3 4 ⋅ 3 4 ) = 1 2 ⋅ 1 2 ⋅ 3 4 ⋅ 3 4 = 1 ⋅ 1 ⋅ 3 ⋅ 3 2 ⋅ 2 ⋅ 4 ⋅ 4 = 9 64 Hence, the value of the expression ( 1 2 ) 2 ⋅ ( 3 4 ) 2 is 9 64

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ISBN: 9780321950970

Author: Elayn Martin-Gay

Publisher: PEARSON

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Chapter 3.5, Problem 90E

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To calculate: The value of the expressions $(12)2⋅(34)2$ and $(12⋅34)2$ , and then check these expressions simplify to the same number. If not, explain why?

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Chapter 3.5, Problem 89E

Chapter 3.5, Problem 91E

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Chapter 3 Solutions

Basic College Mathematics (5th Edition)

Ch. 3.1 - Add and simplify. Ch. 3.1 - Prob. 2P Ch. 3.1 - Prob. 3P Ch. 3.1 - Prob. 4P Ch. 3.1 - Prob. 5P Ch. 3.1 - Prob. 6P Ch. 3.1 - Prob. 7P Ch. 3.1 - Prob. 8P Ch. 3.1 - Prob. 1VRV Ch. 3.1 - Prob. 2VRV

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