Find the value of 2^(m+n)

Published on November 9, 2024

Algebra

To find 2^(m+n), solve for m and n in the equations 2^m = 1 and 2^n = 16, then substitute the values into the expression.

Question

Answer

Here’s how to solve the problem:
We are given two equations:
We want to find the value of .
First, let’s solve for :
. Since any non-zero number raised to the power of 0 is 1, we have .
Next, let’s solve for :
. Since , we have , which means .
Now we can find :
.
So the answer is 16.
Final Answer: The final answer is