Which of the following correctly used the product tule of exponents to simplify the expression 100^8 * 100^7?
1. 200^15
2. 10, 000^15
3. 100^15
4. 100^56
The correct answer is option 4. 100^56.
To simplify the expression 100^8 * 100^7, we use the rule of exponents that states:
" When multiplying two exponential expressions with the same base, add the exponents."
Therefore, 100^8 * 100^7 = 100^(8+7) = 100^15.
To simplify the expression 100^8 * 100^7 using the product rule of exponents, we add the exponents together.
So, 100^8 * 100^7 is equal to 100^(8+7).
This simplifies to 100^15.
Therefore, the correct answer is option 3. 100^15.
To simplify the expression 100^8 * 100^7 using the product rule of exponents, we simply add the exponents and keep the base the same.
In this case, the base is 100 and the exponents are 8 and 7.
According to the product rule of exponents, when multiplying two powers with the same base, we add the exponents together.
So, 100^8 * 100^7 can be simplified as 100^(8+7) or 100^15.
Therefore, the correct answer is option 3. 100^15.