Question

How do you evaluate ${{e}^{4}}$ using a calculator to four decimal places?

Answer 1

Hint: For answering this question we need to evaluate the value of ${{e}^{4}}$ using a calculator up to four decimal places. We can use a scientific calculator and evaluate its value directly. From the basic concepts we know that the value of $e$ is $2.718$ .

Complete step by step solution:
Now considering from the question we have been asked to evaluate the value of ${{e}^{4}}$ up to four decimal places.
From the basic concepts we know that the value of $e$ is $2.718$ .
We need to evaluate the value of $e$ to the power of $4$ .
We have the speciality to use a calculator so our work has been easier now.
We can evaluate it within a short span of time. As we are using a calculator we will end up having an accurate result.
We need to multiply the value of $e$ with itself four times.
So we will enter $e^4$ in the calculator that is we will first press $e$ on the calculator keyboard the press power symbol and then enter four using the keypad of the calculator and press $=$ then we will have the value appearing on the calculator display it is the result.

By evaluating it in a calculator we can conclude that the value of ${{e}^{4}}$ is $54.5981$

Note: While answering this question there is very less possibility of making mistakes. As we are using a calculator we can solve in a short span of time. Similarly we can find the value of any constant. For example if we consider the constant “pi” we can evaluate the value of ${{\pi }^{3}}$ by using a calculator. The value of ${{\pi }^{3}}$ is $31.0062$ where the value of pi is $3.14$ . We can alternatively calculate the value of ${{e}^{4}}$ by calculating the value of $2.718\times 2.178\times 2.178\times 2.178\Rightarrow 54.5981$ because the value of $e$ is $2.718$ .