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Which of the following expressions correctly illustrates the law of exponents \,\(a^m \times a^n=a^{m+n}\)\, for real numbers?
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Answer and explanation
Correct answer: \(x^4 \times x^3=x^7\)
When powers with the same base are multiplied, their exponents are added: \(x^4\times x^3=x^{4+3}=x^7\). In option D, exponents are multiplied, giving \(x^{12}\). Exam tip: first check whether the bases are identical.
Frequently asked questions
What is the correct answer to this question?
\(x^4 \times x^3=x^7\)
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added: \(x^4\times x^3=x^{4+3}=x^7\). In option D, exponents are multiplied, giving \(x^{12}\). Exam tip: first check whether the bases are identical.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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