4^4x4^44

= 4^(4+44)

= 4^48

To simplify the expression 4^4 * 4^44, we can start by using the rule of exponents that says when multiplying two numbers with the same base, you can add the exponents.

4^4 * 4^44 can be written as (4 * 4 * 4 * 4) * (4 * 4 * 4 * ... * 4) (with 44 fours)

The first part (4 * 4 * 4 * 4) is equal to 256 (since 4^4 = 4 * 4 * 4 * 4 = 256).

The second part (4 * 4 * 4 * ... * 4) can be written as 4^44, which is equal to a very large number.

So the final result is 256 * (4^44).