Simplify this expression using the Quotient Rule of Integer Exponents: t400t100. Quotient Rule of Exponents Quick Check

Question

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.

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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 ALSO NOTE THAT THESE ANSWERS ARE FROM SEPT 2023 SO THEY MIGHT BE OUTDATED

Answer 1

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.