if a +1/a =7 the value of a power4+1/a power4
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Given a + 1/a = 7 ---(1)
i) a²+1/a² = (a+1/a)² - 2
= 7²-2
= 49-2
= 47 ---(2)
ii ) a⁴+1/a⁴ = (a²+1/a²)²-2
= 47² - 2
= 2209 - 2
= 2207
Therefore,
a⁴+1/a⁴ = 2207
••••
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