Chapter 4 - Exponential and Logarithmic Functions - Section 4.3 Exponential Functions - 4.3 Assess Your Understanding - Page 305: 18

$a) 2^{2.7}\approx6.498 \\ b) 2^{2.71}\approx6.543 \\c) 2^{2.718}\approx6.580 \\d) 2^{e}\approx6.581$

We use a calculator to compute the given expressions and then we round-off the answer to three decimal places. $a) 2^{2.7}\approx6.498 \\ b) 2^{2.71}\approx6.543 \\c) 2^{2.718}\approx6.580 \\d) 2^{e}\approx6.581$