Simplify: \(x^4 \times x^3\)
Answer and explanation
Correct answer: \(x^7\)
When powers with the same base are multiplied, their exponents are added: \(x^m \times x^n=x^{m+n}\). Hence, \(x^4 \times x^3=x^{4+3}=x^7\), so option A is correct. Option B incorrectly multiplies the exponents. Exam tip: For multiplication of like bases, keep the base unchanged and add the exponents.
Frequently asked questions
What is the correct answer to this question?
\(x^7\)
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added: \(x^m \times x^n=x^{m+n}\). Hence, \(x^4 \times x^3=x^{4+3}=x^7\), so option A is correct. Option B incorrectly multiplies the exponents. Exam tip: For multiplication of like bases, keep the base unchanged and add the exponents.
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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