What is simplified form of (x^5 \times x^2)
Answer and explanation
Correct answer: x^7
When powers with the same base are multiplied, their exponents are added: x^5 × x^2 = x^{5+2} = x^7. Therefore, option A is correct. Option B incorrectly multiplies the exponents, whereas this rule requires their addition. 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^5 × x^2 = x^{5+2} = x^7. Therefore, option A is correct. Option B incorrectly multiplies the exponents, whereas this rule requires their addition. 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 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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