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.

\({{\bf{9}}^{{\bf{11}}}}\)

Short answer

The exponential value\({9^{11}}\)in ordinary notation is equal to 31,381,059,609.

Step-by-step solution

Given information

The value \({9^{11}}\)is to be calculated.

Ordinary notation and scientific notation

When numerical values have a large number of digits, scientific notation is used. It is space-efficient and concise. The ordinary notation of values occupies a lot of space and cannot be quoted everywhere. On the other hand, ordinary notations are easy to understand.

Calculation of the value

The value\({9^{11}}\)can be expressed as:

\(\begin{array}{c}{9^{11}} = 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9\\ = 31381059609\end{array}\)

Thus, the value is equal to 31,381,059,609.