Question

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.

Short answer

The value equal to 0.4 in ordinary notation is given as 0.00065536.

Step-by-step solution

Given information

The value 0.4 is needed to be calculated and expressed in ordinary notation.

Ordinary notation and scientific notation

Scientific notationis commonly used to write numbers with a large value. Often, when numbers are expressed using scientific notation, the analyst is unable to recognize important values. Thus, the ordinary notation of these values can also be used.

Calculation of the value

The value\[{0.4^8}\]can be expressed as:

\(\begin{array}{c}{0.4^8} = 0.4 \times 0.4 \times 0.4 \times 0.4 \times 0.4 \times 0.4 \times 0.4 \times 0.4\\ = 0.00065536\end{array}\)

Therefore, the value obtained is equal to 0.00065536.