Question

Please answer
With step by step explanation

I'll make you brainliest​

Answer 1

Answer:

6239

Step-by-step explanation:

(^(x)= power )

since

a+1/a = 9

(a^4+1/a^4)=?

(a+1/a)^2 = (a^2)+ (1/a^2)+(2×a×1/a)

9^2= a^2 + 1/a^2 + 2

81 = a^2 + 1/a^2 + 2

81-2 = a^2 + 1/a^2

a^2 + 1/a^2 = 79

(a^2 + 1/a^2)^2 = a^4 + 1/a^4 + 2

79^2 = a^4 + 1/a^4 + 2

6241 = a^4 + 1/a^4 + 2

6241-2 = a^4 + 1/a^4

a^4 + 1/a^4 = 6239