Question

Use the Product Rule of Exponents to simplify the expression
2 to the power of 4 times 2 to the power of 2

Answer 1

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

Therefore, to simplify the expression 2^4 * 2^2:
2^4 * 2^2 = 2^(4+2) = 2^6

So, 2^4 * 2^2 simplifies to 2^6.