What is rule of (a^m \times a^n \times a^p)
Answer and explanation
Correct answer: \(a^{m+n+p}\)
When powers with the same base are multiplied, their exponents are added. Therefore, \\(a^m \times a^n \times a^p = a^{m+n+p}\\). Option B is incorrect because the exponents are multiplied there, whereas the exponent law requires their addition. Exam tip: add exponents for multiplication of like bases and subtract them for division.
Frequently asked questions
What is the correct answer to this question?
\(a^{m+n+p}\)
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added. Therefore, \\(a^m \times a^n \times a^p = a^{m+n+p}\\). Option B is incorrect because the exponents are multiplied there, whereas the exponent law requires their addition. Exam tip: add exponents for multiplication of like bases and subtract them 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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