2²²²²+⁷7⁷7⁷

To simplify the expression 2²²²² + ⁷7⁷7⁷, we can follow order of operations:

First, simplify any exponents.

2²²²² = 2 * 2 * 2 * 2 * ... (22,222 times)

However, this number is extremely large and not practical to compute. Therefore, there is no simplified form for 2²²²².

Now let's simplify ⁷7⁷7⁷.

⁷7⁷7⁷ = 7777777

So the simplified form of the expression is 7777777.