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