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If \(\left(2x^{-1}y^{2}\right)^{3}\cdot\left(4x^{2}y^{-1}\right)^{-1}\) is written as \(cx^{r}y^{s}\), what is the value of (c+r+s)?
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Answer and explanation
Correct answer: \(\frac{17}{4}\)
The expression is \(8x^{-3}y^{6}\cdot\frac{1}{4}x^{-2}y=2x^{-5}y^{7}\). Hence \(c+r+s=2-5+7=4\).
Frequently asked questions
What is the correct answer to this question?
\(\frac{17}{4}\)
Why is this the correct answer?
The expression is \(8x^{-3}y^{6}\cdot\frac{1}{4}x^{-2}y=2x^{-5}y^{7}\). Hence \(c+r+s=2-5+7=4\).
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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