What is the value of \(6^1\times6^2\)?
Answer and explanation
Correct answer: 216
For multiplication with the same base add the exponents. Thus \(6^1\times6^2=6^{1+2}=6^3=216\). Option A (36) is incorrect — it corresponds to the wrong operation of multiplying exponents: \(6^{1\times2}=6^2=36\). Exam tip: add exponents for multiplication of same base; subtract for division.
Frequently asked questions
What is the correct answer to this question?
216
Why is this the correct answer?
For multiplication with the same base add the exponents. Thus \(6^1\times6^2=6^{1+2}=6^3=216\). Option A (36) is incorrect — it corresponds to the wrong operation of multiplying exponents: \(6^{1\times2}=6^2=36\). Exam tip: add exponents for multiplication of same base; subtract for division.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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