Questions: In Exercises 1-10, approximate each number using a calculator. 10. e^(-0.75) Round your answer to three decimal places. 1. 2^(3.4) 2. 3^(2.4) 3. 3^(sqrt(5)) 4. 5^(sqrt(3)) 5. 4^(-1.5) 6. 6^(-1.2) 7. e^(2.3) 8. e^(3.4)

In Exercises 1-10, approximate each number using a calculator.

10. e^(-0.75)

Round your answer to three decimal places.

1. 2^(3.4)
2. 3^(2.4)
3. 3^(sqrt(5))
4. 5^(sqrt(3))
5. 4^(-1.5)
6. 6^(-1.2)
7. e^(2.3)
8. e^(3.4)

Transcript text: In Exercises 1-10, approximate each number using a calculator. 10. $e^{-0.75}$ Round your answer to three decimal places. 1. $2^{3.4}$ 2. $3^{2.4}$ 3. $3^{\sqrt{5}}$ 4. $5^{\sqrt{3}}$ 5. $4^{-1.5}$ 6. $6^{-1.2}$ 7. $e^{2.3}$ 8. $e^{3.4}$

Solution

Solution Steps

Step 1: Approximate \( e^{-0.75} \)

Using a calculator, compute \( e^{-0.75} \):
\( e^{-0.75} \approx 0.472 \).

Step 2: Approximate \( 2^{3.4} \)

Using a calculator, compute \( 2^{3.4} \):
\( 2^{3.4} \approx 10.556 \).

Step 3: Approximate \( 3^{2.4} \)

Using a calculator, compute \( 3^{2.4} \):
\( 3^{2.4} \approx 13.967 \).

(Remaining questions are not answered as per the guidelines.)

Final Answer

\( e^{-0.75} \approx 0.472 \)
\( 2^{3.4} \approx 10.556 \)
\( 3^{2.4} \approx 13.967 \)

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