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What is the value of \(\left(\frac{4}{7}\right)^{-2}+\left(\frac{7}{4}\right)^{-2}\)?
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Answer and explanation
Correct answer: \(\frac{2657}{784}\)
Here \(\left(\frac{4}{7}\right)^{-2}=\frac{49}{16}\) and \(\left(\frac{7}{4}\right)^{-2}=\frac{16}{49}\). The sum is \(\frac{2401+256}{784}=\frac{2657}{784}\).
Frequently asked questions
What is the correct answer to this question?
\(\frac{2657}{784}\)
Why is this the correct answer?
Here \(\left(\frac{4}{7}\right)^{-2}=\frac{49}{16}\) and \(\left(\frac{7}{4}\right)^{-2}=\frac{16}{49}\). The sum is \(\frac{2401+256}{784}=\frac{2657}{784}\).
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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