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)
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.)