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Chapter 1: Q11CRE (page 1)

For Chapter 2 through Chapter 14, the Cumulative Review Exercises include topics from preceding chapters. For this chapter, we present a few calculator warm-up exercises, with expressions similar to those found throughout this book. Use your calculator to find the indicated values.

In Exercises 9–12, the given expressions are designed to yield results expressed in a form of scientific notation. For example, the calculator-displayed result of 1.23E5 can be expressed as 123,000, and the result of 1.23E-4 can be expressed as 0.000123. Perform the indicated operation and express the result as an ordinary number that is not in scientific notation.

\({6^{14}}\)

Short Answer

Expert verified

The exponential value \({6^{14}}\)in ordinary notation is equal to 78,364,164,096.

Step by step solution

01

Given information

The value \({6^{14}}\)is to be calculated.

02

Ordinary notation and scientific notation

Scientific notation is generally used to quote numbers that are either too small or too large. The number of decimals that can be written at a time can be limited using this notation.

Ordinary notation requires writing the numbers as it is with all the decimal places. To limit the amount of space required, the numbers are often approximated when written in ordinary notation.

03

Calculation of the value

The value\({6^{14}}\)can be expressed as:

\(\begin{array}{c}{6^{14}} = 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6\\ = 78364164096\end{array}\)

Thus, the value is obtained to be equal to 78,364,164,096.

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Most popular questions from this chapter

In Exercises 17–20, refer to the sample of body temperatures (degrees Fahrenheit) in the table below. (The body temperatures are from a data set in Appendix B.)


12345
8 AM9798.597.697.798.7
12 AM97.697.89898.498.4

Conclusion Given the body temperatures in the table, what issue can be addressed by conducting a statistical analysis of the data.

Determine whether the sampling method appears to be sound or is flawed.

Nuclear Power Plants. In a survey of 1368 subjects, the following question was posted on the USA Today website: “In your view, are nuclear plants safe?” The survey subjects were Internet users who chose to respond to the question posted on the electronic edition of USA Today.

Correlation. One study showed that for a recent period of 11 years, there was a strong correlation (or association) between the numbers of people who drowned in swimming pools and the amounts of power generated by nuclear power plants (based on data from the Centers for Disease Control and Prevention and the Department of Energy). Does this imply that increasing power from nuclear power plants is the cause of more deaths in swimming pools? Why or why not?

In Exercises 29–36, answer the given questions, which are related to percentages.

Percentages in Advertising: An ad for Big Skinny wallets included the statement that one of their wallets “reduces your filled wallet size by 50%–200%.” What is wrong with this statement?

Identify whether the given value is a statistic or a parameter.

Birth Genders In the same study cited in the preceding exercise, 51% of the babies were girls.
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