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 85E
To determine

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

Expert Solution

Answer to Problem 85E

  1.295643×109(3.610×1017)(2.511×106)=1.429326×1019

Explanation of Solution

Given information:

Given expression

  1.295643×109(3.610×1017)(2.511×106)

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.

  1.295643×109(3.610×1017)(2.511×106)

So, the expression can be simplified as

  1.295643×109(3.610×1017)(2.511×106)=1.295643×1093.610×2.511×1017×106=1.295643×1099.06471×1017+6=1.295643×1099.06471×1011=14.29326×109+11=14.29326×1020=1.429326×1019

Hence, 1.295643×109(3.610×1017)(2.511×106)=1.429326×1019 .

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