To find [tex]\( e^{7.2} \)[/tex] rounded to the nearest hundredth, we can follow these steps:
1. Understanding the Problem:
- We need to calculate the value of the mathematical constant [tex]\( e \)[/tex] raised to the power of [tex]\( 7.2 \)[/tex].
- [tex]\( e \)[/tex] is an irrational and transcendental number approximately equal to 2.71828.
2. Using a Calculator:
- To find [tex]\( e^{7.2} \)[/tex], input the value 7.2 as the exponent of [tex]\( e \)[/tex] in a scientific calculator.
3. Calculation:
- Compute [tex]\( e^{7.2} \)[/tex] using the calculator.
4. Rounding:
- Once the calculator provides the result, round this value to the nearest hundredth.
When you do this, you'll find that the value of [tex]\( e^{7.2} \)[/tex] is approximately 1339.43 when rounded to the nearest hundredth.
Therefore, the solution is [tex]\( 1339.43 \)[/tex].
