What is simplified form of (\frac{1}{x^{-2}})
Answer and explanation
Correct answer: \(x^2\)
By the law of exponents, a negative exponent in the denominator changes sign when simplified: \(\frac{1}{x^{-2}}=x^2\), where \(x\neq 0\). Therefore, option A is correct. Option B, \(\frac{1}{x^2}\), results from changing the exponent in the wrong direction. Exam tip: remember \(a^{-n}=\frac{1}{a^n}\), so \(\frac{1}{a^{-n}}=a^n\).
Frequently asked questions
What is the correct answer to this question?
\(x^2\)
Why is this the correct answer?
By the law of exponents, a negative exponent in the denominator changes sign when simplified: \(\frac{1}{x^{-2}}=x^2\), where \(x\neq 0\). Therefore, option A is correct. Option B, \(\frac{1}{x^2}\), results from changing the exponent in the wrong direction. Exam tip: remember \(a^{-n}=\frac{1}{a^n}\), so \(\frac{1}{a^{-n}}=a^n\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
