According to laws of exponents what is (a^3 \times a^4)
Answer and explanation
Correct answer: a^7
When powers with the same base are multiplied, their exponents are added: \(a^m \times a^n = a^{m+n}\). Thus, \(a^3 \times a^4 = a^{3+4}=a^7\), so option A is correct. Option B incorrectly multiplies the exponents, which is not the rule for multiplication of like bases. 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^7
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added: \(a^m \times a^n = a^{m+n}\). Thus, \(a^3 \times a^4 = a^{3+4}=a^7\), so option A is correct. Option B incorrectly multiplies the exponents, which is not the rule for multiplication of like bases. 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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