Question

1. $16x^4 - 625 = 0$

Explanation:

Step1: Isolate the $x^4$ term

$16x^4 = 625$

Step2: Solve for $x^4$

$x^4 = \frac{625}{16}$

Step3: Take 4th root of both sides

$x = \pm \sqrt[4]{\frac{625}{16}} = \pm \frac{5}{2}$
(Note: For real solutions; complex solutions would include $\pm \frac{5}{2}i$, but typically this equation expects real roots unless specified otherwise)

Answer:

$x = \frac{5}{2}$ and $x = -\frac{5}{2}$