Problem

Approximate each number using a calculator.
(a) $6^{3.14}$
(b) $6^{3.141}$
(c) $6^{3.1415}$
(d) $6^{\pi}$

Answer

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Answer

(d) \(6^{\pi}\) is approximately \(\boxed{278.378}\)

Steps

Step 1 :Approximate each number using a calculator.

Step 2 :(a) Calculate the value of \(6^{3.14}\).

Step 3 :(b) Calculate the value of \(6^{3.141}\).

Step 4 :(c) Calculate the value of \(6^{3.1415}\).

Step 5 :(d) Calculate the value of \(6^{\pi}\).

Step 6 :Final Answer:

Step 7 :(a) \(6^{3.14}\) is approximately \(\boxed{277.584}\)

Step 8 :(b) \(6^{3.141}\) is approximately \(\boxed{278.082}\)

Step 9 :(c) \(6^{3.1415}\) is approximately \(\boxed{278.331}\)

Step 10 :(d) \(6^{\pi}\) is approximately \(\boxed{278.378}\)

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