What is the simplified form of \(\left(\frac{8x^{-3}y^{2}}{2x^{5}y^{-4}}\right)^{2}\cdot\frac{x^{16}}{16y^{12}}\)?
Answer and explanation
Correct answer: (1)
Inside, \(\frac{8x^{-3}y^{2}}{2x^{5}y^{-4}}=4x^{-8}y^{6}\), and its square is \(16x^{-16}y^{12}\). Multiplying by \(\frac{x^{16}}{16y^{12}}\) gives (1).
Frequently asked questions
What is the correct answer to this question?
(1)
Why is this the correct answer?
Inside, \(\frac{8x^{-3}y^{2}}{2x^{5}y^{-4}}=4x^{-8}y^{6}\), and its square is \(16x^{-16}y^{12}\). Multiplying by \(\frac{x^{16}}{16y^{12}}\) 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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