Which expression is correctly developed to use the Product Rule of Exponents? Product Rule of Exponents Quick Check

Question 1)
10^8⋅10^8 (the ^ symbol means that the number after it is small)

Question 2)
100^15

Question 3)
100,000

Question 4)
8

Question 5)
16

That's all the questions btw pls upvote this i would appreciate it a lot. I posted these answers cuz the bot doesn't do a good job at providing you with the real ones. ALSO NOTE THAT THESE ANSWERS ARE FROM SEPT 2023 SO THEY MIGHT BE OUTDATED

The expression that is correctly developed to use the Product Rule of Exponents is:

Question 1) 10^8⋅10^8

To correctly use the Product Rule of Exponents, we need to multiply the numbers with the same base and add their exponents.

Let's go through each option and determine if it applies the Product Rule correctly:

Question 1) 10^8 • 10^8
This option correctly applies the Product Rule of Exponents. The base (10) is the same, and we multiply the numbers while adding their exponents.

Question 2) 100^15
This expression doesn't apply the Product Rule of Exponents since the base is not the same for both numbers. The base is 100, but the exponents are different.

Question 3) 100,000
This is just a plain number and doesn't involve exponentiation or the Product Rule of Exponents.

Question 4) 8
Similarly to the previous option, this is just a plain number and doesn't involve exponentiation or the Product Rule of Exponents.

Question 5) 16
Again, this is just a plain number and doesn't involve exponentiation or the Product Rule of Exponents.

Therefore, the expression that correctly applies the Product Rule of Exponents is:

Question 1) 10^8 • 10^8

The correct answer that is developed to use the Product Rule of Exponents is:

Question 1)
10^8⋅10^8 (the ^ symbol means that the number after it is small)