Find ((5^2 \times 5^3)\div5^4).
Answer and explanation
Correct answer: 5
For powers with the same base, exponents are added during multiplication and subtracted during division: \(5^2 \times 5^3 \div 5^4 = 5^{2+3-4}=5^1=5\). Therefore, the correct answer is 5. The value 25 results from applying the exponent rules incorrectly. Exam tip: When the bases are the same, combine the exponents before evaluating the power.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
For powers with the same base, exponents are added during multiplication and subtracted during division: \(5^2 \times 5^3 \div 5^4 = 5^{2+3-4}=5^1=5\). Therefore, the correct answer is 5. The value 25 results from applying the exponent rules incorrectly. Exam tip: When the bases are the same, combine the exponents before evaluating the power.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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