What is the value of (49^2\div7^3)?
Answer and explanation
Correct answer: 7
Rewrite 49 as 7^2: 49^2=(7^2)^2=7^4. When powers with the same base are divided, their exponents are subtracted, so 7^4\div7^3=7^{4-3}=7. Therefore, option B, 7, is correct. Exam tip: For division of powers with the same base, subtract the exponents; treating 49 as the final result can lead to the incorrect option 49.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
Rewrite 49 as 7^2: 49^2=(7^2)^2=7^4. When powers with the same base are divided, their exponents are subtracted, so 7^4\div7^3=7^{4-3}=7. Therefore, option B, 7, is correct. Exam tip: For division of powers with the same base, subtract the exponents; treating 49 as the final result can lead to the incorrect option 49.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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