Which of the following correctly used the Product Rule of Exponents to simplify the expression 100 ^ s * 100 ^ 7 * 2cl point)
100 ^ 56
10000 ^ 15
100 ^ 15
200 ^ 15
The correct expression that uses the Product Rule of Exponents to simplify the given expression is:
100 ^ (s + 7 + 1) = 100 ^ (s + 8)
To simplify the expression using the Product Rule of Exponents, we need to add the exponents when the bases are the same.
The expression can be simplified as:
100^s * 100^7 * 2^1
The bases in this expression are both 100. Using the Product Rule of Exponents, we add the exponents:
100^(s + 7) * 2^1
Therefore, the correct simplification of the expression is 100^(s + 7) * 2^1.