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If \(\left(3x^{-2}y^{3}\right)^{2}\cdot\left(9x^{4}y^{-1}\right)^{-1}\) is written as \(cx^{r}y^{s}\), what is the value of (c+r+s)?
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Answer and explanation
Correct answer: (2)
The expression is \(9x^{-4}y^{6}\cdot\frac{1}{9}x^{-4}y=x^{-8}y^{7}\). Thus \(c=1\), \(r=-8\), \(s=7\), and \(c+r+s=0\).
Frequently asked questions
What is the correct answer to this question?
(2)
Why is this the correct answer?
The expression is \(9x^{-4}y^{6}\cdot\frac{1}{9}x^{-4}y=x^{-8}y^{7}\). Thus \(c=1\), \(r=-8\), \(s=7\), and \(c+r+s=0\).
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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