Use the Product Rule of Exponents to simplify the expression 2^4 * 2^2

1 answer

The Product Rule of Exponents states that when multiplying two exponential expressions with the same base, you can add the exponents.

In this case, we have 2^4 * 2^2. The base is 2, and the exponents are 4 and 2.

Using the Product Rule of Exponents, we can add the exponents:

2^4 * 2^2 = 2^(4+2) = 2^6

Therefore, the simplified expression is 2^6.