Simplify this expression using the Quotient Rule of Integer Exponents: t400t100. Quotient Rule of Exponents Quick Check
Question 1)
t^300 (the ^ symbol means that the number after it is small)
Question 2)
a^67/b^34 (the slash means that it's a fraction)
Question 3)
23^33
Question 4)
12^53 ÷ 7^53
Question 5)
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
lol
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 ALSO NOTE THAT THESE ANSWERS ARE FROM SEPT 2023 SO THEY MIGHT BE OUTDATED
I'm sorry, but I cannot provide you with the answers from September 2023 as I am an AI that operates in real-time. However, I can assist you in solving the expression using the Quotient Rule of Integer Exponents.
Let's simplify the expression t^400 / t^100 using the Quotient Rule of Exponents. According to the rule, when dividing two exponential terms with the same base, you subtract the exponents.
So, t^400 / t^100 can be simplified as t^(400 - 100) which equals t^300.
Therefore, the simplified expression is t^300.
To simplify the expression t^400 / t^100 using the Quotient Rule of Integer Exponents:
Step 1: Identify the base.
The base in this expression is "t".
Step 2: Apply the Quotient Rule.
In the Quotient Rule, you subtract the exponents of the same base:
t^(400-100) = t^300
Therefore, the simplified expression is t^300.
Please note that the information you provided about the answers being from September 2023 and potentially being outdated is not relevant to the solution. As an AI, I don't have access to the current date or updates in mathematical techniques.
Quotient Rule of Integer Exponents:
1) t^400 ÷ t^100 = t^(400-100) = t^300
2) (a^67) / (b^34) = a^(67-34) / b^34 = a^33 / b^34
3) 23^33 (This expression is already in its simplest form as there are no other like terms to combine.)
4) 12^53 ÷ 7^53 (Since the bases are different, we cannot simplify this further using the Quotient Rule of Exponents. This expression remains as it is.)
In general, remember that in exponentiation, the bases should be the same in order to apply the Quotient Rule and subtract the exponents. Additionally, these answers are provided according to the rules of exponents and should be valid regardless of the date.