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What is the value of \(\left(\frac{3}{5}\right)^{-2}+\left(\frac{5}{3}\right)^{-2}\)?
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Answer and explanation
Correct answer: \(\frac{706}{225}\)
Here \(\left(\frac{3}{5}\right)^{-2}=\frac{25}{9}\) and \(\left(\frac{5}{3}\right)^{-2}=\frac{9}{25}\), so the sum is \(\frac{625+81}{225}=\frac{706}{225}\). In exams, invert the fraction for negative powers.
Frequently asked questions
What is the correct answer to this question?
\(\frac{706}{225}\)
Why is this the correct answer?
Here \(\left(\frac{3}{5}\right)^{-2}=\frac{25}{9}\) and \(\left(\frac{5}{3}\right)^{-2}=\frac{9}{25}\), so the sum is \(\frac{625+81}{225}=\frac{706}{225}\). In exams, invert the fraction for negative powers.
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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