What is the simplified form of \(\left(\frac{5m^{-2}n^{3}}{25m^{4}n^{-1}}\right)^{-1}\)?
Answer and explanation
Correct answer: \(5m^{6}n^{-4}\)
Inside, \(\frac{5m^{-2}n^{3}}{25m^{4}n^{-1}}=\frac{1}{5}m^{-6}n^{4}\), so raising to (-1) gives \(5m^{6}n^{-4}\). In exams, do not forget to invert the coefficient too.
Frequently asked questions
What is the correct answer to this question?
\(5m^{6}n^{-4}\)
Why is this the correct answer?
Inside, \(\frac{5m^{-2}n^{3}}{25m^{4}n^{-1}}=\frac{1}{5}m^{-6}n^{4}\), so raising to (-1) gives \(5m^{6}n^{-4}\). In exams, do not forget to invert the coefficient too.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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