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 88E
To determine

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

Expert Solution

Answer to Problem 88E

  (3.542×106)9(5.05×104)12=3.189631226×10106

Explanation of Solution

Given information:

Given expression

  (3.542×106)9(5.05×104)12

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(am)n=amn

Calculation:

Consider the given expression.

  (3.542×106)9(5.05×104)12

So, the expression can be simplified as

  (3.542×106)9(5.05×104)12=(3.542)9×(106)9(5.05)12×(104)12=87,747.95568×1054275,103,767.1×1048=8.774795568×104×10542.75103767.1×108×1048=8.774795568×104542.75103767.1×108+48=8.774795568×10502.75103767.1×1056=3.189631226×105056=3.189631226×10106

Hence, (3.542×106)9(5.05×104)12=3.189631226×10106 .

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