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What is the simplified form of \(\left(\frac{4x^{3}y^{-2}}{2x^{-1}y^{4}}\right)^{2}\cdot\frac{y^{12}}{x^{4}}\)?
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Answer and explanation
Correct answer: \(4x^{4}\)
Inside, \(\frac{4x^{3}y^{-2}}{2x^{-1}y^{4}}=2x^{4}y^{-6}\), and its square is \(4x^{8}y^{-12}\). Multiplying by \(\frac{y^{12}}{x^{4}}\) gives \(4x^{4}\).
Frequently asked questions
What is the correct answer to this question?
\(4x^{4}\)
Why is this the correct answer?
Inside, \(\frac{4x^{3}y^{-2}}{2x^{-1}y^{4}}=2x^{4}y^{-6}\), and its square is \(4x^{8}y^{-12}\). Multiplying by \(\frac{y^{12}}{x^{4}}\) gives \(4x^{4}\).
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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