Question

1. $w^{2}=\frac{49}{81}$

Explanation:

Step1: Take square - root of both sides

$w=\pm\sqrt{\frac{49}{81}}$

Step2: Simplify the square - root

Since $\sqrt{\frac{49}{81}}=\frac{\sqrt{49}}{\sqrt{81}}$, and $\sqrt{49} = 7$, $\sqrt{81}=9$, then $w=\pm\frac{7}{9}$

Answer:

$w = \frac{7}{9}$ or $w=-\frac{7}{9}$