What is the value of (5^6 \div 5^2)?
Answer and explanation
Correct answer: 625
When powers with the same base are divided, subtract the exponents: \(5^6 \div 5^2 = 5^{6-2}=5^4=625\). Therefore, 625 is correct. Getting 25 would result from subtracting the exponents incorrectly. Exam tip: for division with the same base, subtract the denominator’s exponent from the numerator’s exponent.
Frequently asked questions
What is the correct answer to this question?
625
Why is this the correct answer?
When powers with the same base are divided, subtract the exponents: \(5^6 \div 5^2 = 5^{6-2}=5^4=625\). Therefore, 625 is correct. Getting 25 would result from subtracting the exponents incorrectly. Exam tip: for division with the same base, subtract the denominator’s exponent from the numerator’s exponent.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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