What is value of (\frac{1}{a^{-4}})
Answer and explanation
Correct answer: \(a^4\)
For \(a\neq 0\), the negative-exponent rule is \(a^{-n}=\frac{1}{a^n}\). Thus, \(a^{-4}=\frac{1}{a^4}\), so \(\frac{1}{a^{-4}}=\frac{1}{1/a^4}=a^4\). Therefore, option A is correct. Exam tip: first rewrite a negative exponent as a reciprocal, then simplify the resulting fraction.
Frequently asked questions
What is the correct answer to this question?
\(a^4\)
Why is this the correct answer?
For \(a\neq 0\), the negative-exponent rule is \(a^{-n}=\frac{1}{a^n}\). Thus, \(a^{-4}=\frac{1}{a^4}\), so \(\frac{1}{a^{-4}}=\frac{1}{1/a^4}=a^4\). Therefore, option A is correct. Exam tip: first rewrite a negative exponent as a reciprocal, then simplify the resulting fraction.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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