BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.2, Problem 87E
To determine

To perform: the indicated operation and write the result in scientific notation.

Expert Solution

Answer to Problem 87E

  (0.0000162)(0.01582)(594,621,000)(0.0058)=7.4×1014

Explanation of Solution

Given information:

Given expression

  (0.0000162)(0.01582)(594,621,000)(0.0058)

Concept used:

Scientific notation:

A notation in which a given quantity can be expressed as a number with significant digits required for a specified degree of accuracy and multiplied by 10 to the appropriate power.

Formula used:

Law of exponents:

  aman=am+naman=amn

Calculation:

Consider the given expression.

  (0.0000162)(0.01582)(594,621,000)(0.0058)

So, the expression can be simplified as

  (0.0000162)(0.01582)(594,621,000)(0.0058)=1.62×105×1.582×1025.94621000×108×5.8×103=2.56284×105234.488018×1083=2.56284×10734.488018×105=2.5628434.488018×1075=0.07431102×1012=7.4×102×1012=7.4×10122=7.4×1014

Hence, 73.1(1.6341×1028)0.0000000019=6.286984×1038 .

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