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.

\({0.3^{12}}\)

Short answer

The value of the exponent\({0.3^{12}}\)in ordinary notation is equal to 0.000000531441.

Step-by-step solution

Given information

The value \({0.3^{12}}\)is to be calculated.

Ordinary notation and scientific notation

The scientific notation, also called the standard form, is used to write mathematical calculations with a very large or small value. It is commonly used by scientists and mathematicians.

Inordinary notation, numbers are either rounded off or expressed with the maximum possible digits that can be accommodated at once.

Calculation of the value

The value\({0.3^{12}}\)can be expressed as:

\(\begin{array}{c}{0.3^{12}} = 0.3 \times 0.3 \times 0.3 \times 0.3 \times 0.3 \times 0.3 \times 0.3 \times 0.3 \times 0.3 \times 0.3 \times 0.3 \times 0.3\\ = 0.000000531441\end{array}\)

Therefore, the value is obtained as 0.000000531441.