What is simplified form of (x^{-3})
Answer and explanation
Correct answer: \(\frac{1}{x^3}\)
The negative-exponent rule is \(x^{-n}=\frac{1}{x^n}\), where \(x\neq0\). Therefore, \(x^{-3}=\frac{1}{x^3}\). Option B represents a positive exponent, while option C incorrectly adds a minus sign instead of taking the reciprocal. Exam tip: for a negative exponent, take the reciprocal of the base and make the exponent positive.
Frequently asked questions
What is the correct answer to this question?
\(\frac{1}{x^3}\)
Why is this the correct answer?
The negative-exponent rule is \(x^{-n}=\frac{1}{x^n}\), where \(x\neq0\). Therefore, \(x^{-3}=\frac{1}{x^3}\). Option B represents a positive exponent, while option C incorrectly adds a minus sign instead of taking the reciprocal. Exam tip: for a negative exponent, take the reciprocal of the base and make the exponent positive.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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