Approximate each number using a calculator.
(a) $2.7^{3.1}$
(b) $2.71^{3.14}$
(c) $2.718^{3.141}$
(d) $e^{\pi}$
(a) $2.7^{3.1} \approx \square$ (Round to three decimal places as needed.)

Answer

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Answer

So, $2.7^{3.1} \approx \boxed{21.738}$.

Steps

Step 1 ：The problem is asking to approximate the value of $2.7^{3.1}$.

Step 2 ：Calculate $2.7^{3.1}$ using a calculator.

Step 3 ：The result is approximately 21.738.

Step 4 ：So, $2.7^{3.1} \approx \boxed{21.738}$.