What is the value of (125^2 \div 5^4)?
Answer and explanation
Correct answer: 25
Write 125 as a power of 5: 125 = 5^3. Therefore, 125^2 \div 5^4 = (5^3)^2 \div 5^4 = 5^6 \div 5^4 = 5^{6-4} = 5^2 = 25. Hence, 25 is correct. Exam tip: when dividing powers with the same base, subtract the exponents. Option 125 would result from using an incorrect exponent difference.
Frequently asked questions
What is the correct answer to this question?
25
Why is this the correct answer?
Write 125 as a power of 5: 125 = 5^3. Therefore, 125^2 \div 5^4 = (5^3)^2 \div 5^4 = 5^6 \div 5^4 = 5^{6-4} = 5^2 = 25. Hence, 25 is correct. Exam tip: when dividing powers with the same base, subtract the exponents. Option 125 would result from using an incorrect exponent difference.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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