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Find the value of (13)−4+(16)−4+(18)−4.\left(\frac{1}{3}\right)^{-4} + \left(\frac{1}{6}\right)^{-4} + \left(\frac{1}{8}\right)^{-4}.(31​)−4+(61​
Question

Find the value of (13)4+(16)4+(18)4.\left(\frac{1}{3}\right)^{-4} + \left(\frac{1}{6}\right)^{-4} + \left(\frac{1}{8}\right)^{-4}.​​

A.

5772

B.

4769

C.

5473

D.

4776

Correct option is C

Given:
(13)4+(16)4+(18)4.\left(\frac{1}{3}\right)^{-4} + \left(\frac{1}{6}\right)^{-4} + \left(\frac{1}{8}\right)^{-4}.
Solution:
(13)4+(16)4+(18)4=34+64+84=81+1296+4096=5473\left(\frac{1}{3}\right)^{-4} + \left(\frac{1}{6}\right)^{-4} + \left(\frac{1}{8}\right)^{-4} \\= 3^4 + 6^4 + 8^4\\= 81 + 1296 + 4096\\= 5473​​

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