To determine To calculate: The simplified expression, ( 3 a 2 ) 1 2 ⋅ ( 3 2 a ) 3 2 . Explanation Given: The expression: ( 3 a 2 ) 1 2 ⋅ ( 3 2 a ) 3 2 . Formula used: By-product to a power property, i.e., if m is any rational numbers and a and b be any real numbers then, ( a m ) n = a m n Calculation: So, the expression ( 3 a 2 ) 1 2 is written as, ( 3 a 2 ) 1 2 = 3 1 2 ⋅ ( a 2 ) 1 2 = 3 1 2 ⋅ a 2 ⋅ 1 2 = 3 1 2 ⋅ a 1 = 3 1 2 a And, also the expression ( 3 2 a ) 3 2 is written as, ( 3 2 a ) 3 2 = ( 3 2 ) 3 2 ⋅ a 3 2 = 3 2 ⋅ 3 2 ⋅ a 3 2 = 3 1 ⋅ a 3 2 = 3 a 3 2 So, the provided expression is written as, ( 3 a 2 ) 1 2 ⋅ ( 3 2 a ) 3 2 = 3 1 2 a ⋅ 3 a 3 2 = 3 1 2 ⋅ a ⋅ 3 ⋅ a 3 2 = ( 3 1 2 ⋅ 3 ) ( a ⋅ a 3 2 ) Now by-product property, i

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

11th Edition

ISBN: 9780321931078

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Chapter 1, Problem 51RE

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To calculate: The simplified expression, (3a2)12⋅(32a)32.

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Chapter 1, Problem 50RE

Chapter 1, Problem 52RE

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Chapter 1 Solutions

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

Ch. 1.1 - Name all the types of numbers that apply to the...Ch. 1.1 - Checkpoint 2 Name the property illustrated in each...Ch. 1.1 - Checkpoint 3 Name the property illustrated in each...Ch. 1.1 - Checkpoint 4 Use the distributive property to...Ch. 1.1 - Checkpoint 5 Evaluate the following if and...Ch. 1.1 - Checkpoint 6 Use a calculator to evaluate the...Ch. 1.1 - Prob. 7CP Ch. 1.1 - Checkpoint 8 Draw a number line, and graph the...Ch. 1.1 - Prob. 9CP Ch. 1.1 - Prob. 10CP

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