Question

Factor Completely.
x^8 - 1/81.
^8 is the exponent of 8.
1/81 is 1 over 81 in a fraction.

Answer 1

x^8 - 1/81= x^8 - 1/3^4
=(x^4+1/9)(x^4-1/9) =
=(x^4+1/9)(x^2+1/3)(x^2-1/3)
=(x^4+1/9)(x^2+1/3)(x+sqrt(1/3))(x-sqrt(1/3))