Question

Slove for X: x^4 = 1/625

Answer 1

\[\sqrt[n]{x^n}=x\]

Answer 2

take the fourth route of the fraction

so (1/625) ^ (1/4) = 1 / (625^(1/4)) = 1/5

Answer 3

Here's how I would do it


x^4 = 1/625

625x^4 = 1

625x^4 - 1 = 0

(25x^2)^2 - 1^2 = 0

(25x^2 - 1)(25x^2 + 1) = 0

((5x)^2 - 1^2)(25x^2 + 1) = 0

(5x - 1)(5x + 1)(25x^2 + 1) = 0


Do you see how to finish up?

Answer 4

\[\sqrt[4]{x ^{4}}=\sqrt[4]{1/625}\] Like this easy ?.. :)