Use the product rule of exponents to simplify the expression 2 squared 4 times 2 squared 2

Answer 1

To simplify the expression using the product rule of exponents, we can combine the exponents.

2 squared is equal to 2^2 = 2*2 = 4.

So, the expression can be rewritten as:

4^4 * 4^2.

Now, according to the product rule of exponents, when multiplying two numbers with the same base, we can add their exponents. So, we have:

4^6.

Therefore, the simplified expression is 4^6.