What is the value of (5^2 \times 5^3)?
Answer and explanation
Correct answer: 3125
When powers with the same base are multiplied, their exponents are added: \(5^2 \times 5^3 = 5^{2+3} = 5^5 = 3125\). Therefore, 3125 is correct. The close distractor 625 equals \(5^4\), so it does not result from adding the exponents correctly. Exam tip: use \(a^m \times a^n = a^{m+n}\) only when the bases are the same.
Frequently asked questions
What is the correct answer to this question?
3125
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added: \(5^2 \times 5^3 = 5^{2+3} = 5^5 = 3125\). Therefore, 3125 is correct. The close distractor 625 equals \(5^4\), so it does not result from adding the exponents correctly. Exam tip: use \(a^m \times a^n = a^{m+n}\) only when the bases are the same.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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