if a+1/a =8 , find the value of a^6+1/a^6.
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Step-by-step explanation:
a + 1/a = 8
squaring ...
(a + 1/a)² = a² + 1/a² + 1
64 = a² + 1/a² + 1
63 = a² + 1/a²
(63)³ = (a² + 1/a²)³
250047 = a6+ 1/a6 + 3(1)(a+1/a)
250047 = a6 + 1/a6 + 24
250023 is your answer
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