Prove.
2^n + 2^n = 2^(n+1)
2^n + 2^n
= 2 (2^n)
= 2^(n+1)
ty that helps alot
To prove the equation 2^n + 2^n = 2^(n+1), we need to show that both sides of the equation are equal. Let's break down the equation step by step.
First, let's simplify the left side of the equation, 2^n + 2^n.
Since both terms have the same base (2), we can combine them using the property of addition:
2^n + 2^n = (2 + 2) * 2^n = 2 * 2^n = 2^(n+1).
Now, we have simplified the left side to 2^(n+1).
On the right side, we have 2^(n+1).
Therefore, 2^n + 2^n = 2^(n+1), which shows that both sides of the equation are indeed equal.
In summary, we proved the equation 2^n + 2^n = 2^(n+1) by first simplifying the left side to 2^(n+1) and showing that it is equal to the right side.