Explanation Given Information: The expression 3 , 400 , 000 , 000 ( 0.000075 ) 0.00025 . Formula used: The scientific notation of a number is expressed as, a × 10 n Here 1 ≤ | a | < 10 and n is an integer. Power Rule states that for any real numbers a and b , a m b n = a m + n a m b n = a m − n Commutative Rule states that for any real numbers a and b , a ⋅ b = b ⋅ a Associative rule states that for any real numbers a , b and c , ( a ⋅ b ) ⋅ c = a ( b ⋅ c ) Calculation: Consider the expression, 3 , 400 , 000 , 000 ( 0.000075 ) 0.00025 Convert standard notation to the scientific notation of the given number. As, 3 , 400 , 000 , 000 = 3.4 × 10 9 0.000075 = 7.5 × 10 − 5 0.00025 = 2.5 × 10 − 4 Then the resulting expression is, 3 , 400 , 000 , 000 ( 0.000075 ) 0

Beginning and Intermediate Algebra (6th Edition)

6th Edition

ISBN: 9780321969163

Author: Margaret L. Lial, John Hornsby, Terry McGinnis

Publisher: PEARSON

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Chapter 4.3, Problem 70E

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To calculate: The simplified form of the expression 3,400,000,000(0.000075)0.00025.

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Chapter 4.3, Problem 69E

Chapter 4.3, Problem 71E

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Chapter 4 Solutions

Beginning and Intermediate Algebra (6th Edition)

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The simplified form of the expression 3 , 400 , 000 , 000 ( 0.000075 ) 0.00025 .

Solution Summary: The author calculates the simplified form of the expression 3,400,000,000(0.000075)0.00025.

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To calculate: The simplified form of the expression 3,400,000,000(0.000075)0.00025.

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Chapter 4 Solutions