Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7? (1 point)
Responses
100^56
10,000^15
100^15
200^15
The correct answer is 100^15.
To simplify the expression using the Product Rule of Exponents, you add the exponents when the bases are the same.
In this case, the base is 100, and the exponents are 8 and 7.
Using the Product Rule, you add the exponents: 8 + 7 = 15.
Therefore, the simplified expression is 100^15.
To simplify the expression 100^8⋅100^7 using the Product Rule of Exponents, we add the exponents.
The Product Rule states that for any nonzero number a and any integers m and n, a^m ⋅ a^n = a^(m+n).
In this case, we have 100^8⋅100^7.
Therefore, we add the exponents: 8 + 7 = 15.
So the simplified expression is 100^15.
Therefore, the correct option is 100^15.