(Refer to Example 1.) Use the given base to write the number as an exponential expression....

(Refer to Example 1.) Use the given base to write the number as an exponential expression. Check your result if you have a calculator available.

1000 (base 10)

EXAMPLE 1 Writing numbers in exponential notation

Use the given base to write each number as an exponential expression. Check your results with a calculator, if one is available.

(a) 100 (base 10)

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(b) 16 (base 2)

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(c) 27 (base 3)

Solution

(a) 100 = 10 · 10 = 102

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(b) 16 = 4 · 4 = 2 · 2 · 2 · 2 = 24

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(c) 27 = 3 · 9 = 3 · 3 · 3 = 33

These values are supported in Figure 1, where exponential expressions are evaluated with a calculator by using the “^” key. (Note that some calculators may have a different key for evaluating exponential expressions.)

Figure 1