PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
10th Edition
ISBN: 9780136174318
Author: Demana
Publisher: PEARSON
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Textbook Question
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Chapter P.1, Problem 64E

In Exercises 63 and 64, use scientific notation to simplify.

64. 3.7 × 10 7 4.3 × 10 6 2.5 × 10 7

Expert Solution & Answer
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Solution

To simplify the expression 3.7×1074.3×1062.5×107 using scientific notation.

  6.364×108

Given:

The expression 3.7×1074.3×1062.5×107 .

Concept Used:

  • To write a number in scientific notation, move the decimal point after the first nonzero integer and raise the exponent of 10 by the number of digits we moved the decimal point. If the decimal point was moved to the left, then raise the positive exponent and if the decimal point moved to the right, then raise the negative exponent.
  • Product of power property: aman=am+n
  • Quotient of powers property: aman=amn

Calculation:

In order to simplify the given expression using scientific notation, use the exponent properties and simplify further as shown below

  3.7×1074.3×1062.5×107=3.7×4.3×107×1062.5×107=15.91×107+62.5×107=15.91×1012.5×107=15.912.5×101107=6.364×1017=6.364×108

Thus, the simplified expression is 6.364×108 .

Chapter P Solutions

PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)

Ch. P.1 - Prob. 1ECh. P.1 - Prob. 2ECh. P.1 - Prob. 3ECh. P.1 - Prob. 4ECh. P.1 - Prob. 5ECh. P.1 - Prob. 6ECh. P.1 - Prob. 7ECh. P.1 - Prob. 8ECh. P.1 - Prob. 9ECh. P.1 - Prob. 10ECh. P.1 - Prob. 11ECh. P.1 - Prob. 12ECh. P.1 - Prob. 13ECh. P.1 - Prob. 14ECh. P.1 - Prob. 15ECh. P.1 - Prob. 16ECh. P.1 - Prob. 17ECh. P.1 - Prob. 18ECh. P.1 - Prob. 19ECh. P.1 - Prob. 20ECh. P.1 - Prob. 21ECh. P.1 - Prob. 22ECh. P.1 - Prob. 23ECh. P.1 - Prob. 24ECh. P.1 - Prob. 25ECh. P.1 - Prob. 26ECh. P.1 - Prob. 27ECh. P.1 - Prob. 28ECh. P.1 - Prob. 29ECh. P.1 - Prob. 30ECh. P.1 - Prob. 31ECh. P.1 - Prob. 32ECh. P.1 - Prob. 33ECh. P.1 - Prob. 34ECh. P.1 - Prob. 35ECh. P.1 - Prob. 36ECh. P.1 - Prob. 37ECh. P.1 - Prob. 38ECh. P.1 - Prob. 39ECh. P.1 - Prob. 40ECh. P.1 - Prob. 41ECh. P.1 - Prob. 42ECh. P.1 - Prob. 43ECh. P.1 - Prob. 44ECh. P.1 - Prob. 45ECh. P.1 - Prob. 46ECh. P.1 - Prob. 47ECh. P.1 - In Exercises 4752, simplify the expression. Assume...Ch. 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