Answer :
Certainly! Let's solve the question step-by-step.
a) Evaluate [tex]\(3.85^{2.26 + 1.57}\)[/tex]:
1. First, we need to find the exponent by adding the two numbers:
[tex]\[
2.26 + 1.57 = 3.83
\][/tex]
2. Now, raise 3.85 to the power of 3.83:
[tex]\[
3.85^{3.83} \approx 174.709
\][/tex]
When rounded to 3 decimal places, the result is approximately 174.709.
b) Evaluate [tex]\(4.63^{3.61 - 2.54}\)[/tex]:
1. First, calculate the exponent by subtracting the numbers:
[tex]\[
3.61 - 2.54 = 1.07
\][/tex]
2. Next, raise 4.63 to the power of 1.07:
[tex]\[
4.63^{1.07} \approx 5.154
\][/tex]
When rounded to 3 decimal places, the result is approximately 5.154.
So, the final answers are:
- For part (a), the result is approximately 174.709.
- For part (b), the result is approximately 5.154.
a) Evaluate [tex]\(3.85^{2.26 + 1.57}\)[/tex]:
1. First, we need to find the exponent by adding the two numbers:
[tex]\[
2.26 + 1.57 = 3.83
\][/tex]
2. Now, raise 3.85 to the power of 3.83:
[tex]\[
3.85^{3.83} \approx 174.709
\][/tex]
When rounded to 3 decimal places, the result is approximately 174.709.
b) Evaluate [tex]\(4.63^{3.61 - 2.54}\)[/tex]:
1. First, calculate the exponent by subtracting the numbers:
[tex]\[
3.61 - 2.54 = 1.07
\][/tex]
2. Next, raise 4.63 to the power of 1.07:
[tex]\[
4.63^{1.07} \approx 5.154
\][/tex]
When rounded to 3 decimal places, the result is approximately 5.154.
So, the final answers are:
- For part (a), the result is approximately 174.709.
- For part (b), the result is approximately 5.154.
