Product Rule of Exponents Quick Check
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8 ⋅ 100^7?(1 point)
Responses
100^56
100^15
10,000^15
200^15
The Product Rule of Exponents states that when multiplying two powers with the same base, you can add their exponents.
In this case, the expression is: 100^8 ⋅ 100^7
To simplify this expression using the Product Rule of Exponents, you add the exponents together:
100^(8 + 7)
This simplifies to:
100^15
Therefore, the correct answer is: 100^15
The correct answer is 100^15.
The Product Rule of Exponents states that when multiplying two exponential expressions with the same base, you add the exponents. In this case, both expressions have a base of 100 and the exponents are 8 and 7 respectively.
When you multiply 100^8 ⋅ 100^7, you add the exponents: 8 + 7 = 15. Therefore, the simplified expression is 100^15.