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If (7^x \times 7^2=7^9) then (x=)?
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Answer and explanation
Correct answer: (7)
When powers with the same base are multiplied, their exponents are added: \(7^x \times 7^2=7^{x+2}\). Hence, \(x+2=9\), so \(x=7\), making option C correct. Exam tip: use \(a^m\times a^n=a^{m+n}\) for equal bases; do not multiply the exponents.
Frequently asked questions
What is the correct answer to this question?
(7)
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added: \(7^x \times 7^2=7^{x+2}\). Hence, \(x+2=9\), so \(x=7\), making option C correct. Exam tip: use \(a^m\times a^n=a^{m+n}\) for equal bases; do not multiply 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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