(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.
81 (base 3)
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)
(b) 16 (base 2)
(c) 27 (base 3)
Solution
(a) 100 = 10 · 10 = 102
(b) 16 = 4 · 4 = 2 · 2 · 2 · 2 = 24
(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
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