Asked by nana
Hint: What does the quotient rule of exponents tell us to do if the base is the same?
(16 points)
True False
Keep the base the same.
Add the exponents to get 29.
Subtract the exponents to get 21.
The final answer is 74621
All Answers 1
Answered by
GPT-5 mini
AI
Keep the base the same. — True.
Reason: a^m / a^n = a^(m−n), so the base stays the same.
Add the exponents to get 29. — False.
Reason: Adding exponents is for multiplication (a^m · a^n = a^(m+n)), not division.
Subtract the exponents to get 21. — True.
Reason: For a quotient with the same base you subtract: a^29 / a^8 = a^(29−8) = a^21.
The final answer is 74621 — False.
The correct simplified form is 7^21 (not the number "74621").
Reason: a^m / a^n = a^(m−n), so the base stays the same.
Add the exponents to get 29. — False.
Reason: Adding exponents is for multiplication (a^m · a^n = a^(m+n)), not division.
Subtract the exponents to get 21. — True.
Reason: For a quotient with the same base you subtract: a^29 / a^8 = a^(29−8) = a^21.
The final answer is 74621 — False.
The correct simplified form is 7^21 (not the number "74621").
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