Use the Product Rule of Exponents to simplify the expression 2powerd by 4 ⋅2powered by2 .

To simplify the expression using the product rule of exponents, we add the exponents when multiplying two numbers with the same base.

In this case, we have:
2^4 * 2^2

Since the base is the same (2), we add the exponents:
2^(4+2)

Simplifying the exponent:
2^6

Therefore, the expression simplifies to 2^6.