if a+1 by a =4, what is the value of a⁴+1 by a⁴
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if a+1 by a =4, what is the value of a⁴+1 by a⁴
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Given,
(a+1)/a = 4
To find,
(a⁴ + 1)/a⁴
Solution,
(a+1)/a = 4
a+1 = 4a
1 = 4a - a
1 = 3a
1/3 = a
So a = 1/3
(a⁴+1)/a⁴
((1/3)⁴ + 1⁴)/(1/3)⁴
(1/12 + 1)/(1/12)
((1+12)/12)/(1/12)
(13/12)/(1/12)
13/12 x 12
13
Hence (a⁴+1)/a⁴ is equal to 13
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