Evaluate the expression:

\[ e^{\log_e{(2^{16})}} \]

or, in other words, \( e \) to the power of \(\log_e\) of \(2^{16}\).

The **solution **of the **expression **is,
⇒ e^{log_{e^{2} }} ^1^6 = 4
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The **expression **is,
⇒ e^{log_{e^{2} }} ^1^6
Now, We can **simplify **the expression as;
⇒ e^{log_{e^{2} }} ^1^6
⇒ e^{log_{e^{2} }} ^{4^2}
⇒ e^{2log_{e^{2} }} ^{4}
⇒ 4
Since, logₐ a = 1
Thus, The **solution **of the **expression **is,
⇒ e^{log_{e^{2} }} ^1^6 = 4
Learn more about the** mathematical expression** visit:
brainly.com/question/1859113
#SPJ7

Answered by malik001 | 2024-06-17

The expression e l o g e ​ ( 2 16 ) simplifies to 2 16 , which equals 65536. Therefore, the answer is 65536. This utilizes the property that e l o g e ​ ( x ) = x .
;

Answered by malik001 | 2024-12-16