Which of the following correctly used the product rule of exponents to simplify the expression 100 to the power of 8 * 100 ^ 7
The correct expression that uses the product rule of exponents to simplify the expression 100 to the power of 8 * 100 ^ 7 is:
100^(8 + 7) = 100^15
The product rule of exponents states that when multiplying two numbers with the same base, you add the exponents.
So, to simplify the expression 100^8 * 100^7, we need to add the exponents.
Using the product rule, we have:
100^8 * 100^7 = 100^(8 + 7)
Therefore, the correct simplification is 100^(8 + 7).