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 ALSO NOTE THAT THESE ANSWERS ARE FROM SEPT 2023 SO THEY MIGHT BE OUTDATED
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The correct expression that uses the Product Rule of Exponents is:
Question 1)
10^8 * 10^8
To correctly apply the Product Rule of Exponents, we need to know that the rule states:
"When multiplying two numbers with the same base, we keep the base and add the exponents."
Now, let us analyze each option and see which one correctly applies the Product Rule of Exponents:
Question 1: 10^8⋅10^8
This expression follows the Product Rule of Exponents since we have the same base of 10, and when multiplying the two numbers, we add the exponents. Therefore, this expression correctly applies the rule.
Question 2: 100^15
This expression is not an example of the Product Rule of Exponents. The exponent 15 is applied to the base 100, but there is no multiplication involved. Therefore, this expression does not use the rule correctly.
Question 3: 100,000
This is not an expression that involves exponents or the Product Rule of Exponents. It is simply a numerical value.
Question 4: 8
This is not an expression involving exponents or the Product Rule of Exponents. It is just the number 8.
Question 5: 16
Similar to the previous options, this is not an expression involving exponents or the Product Rule of Exponents. It is only the number 16.
Therefore, among the options provided, only Question 1, 10^8⋅10^8, is correctly developed to use the Product Rule of Exponents.
The correct expression that uses the Product Rule of Exponents is:
Question 1) 10^(8 + 8) = 10^16