Answer:
[tex]g=\frac{r^2\sqrt{w} }{k}[/tex]
Step-by-step explanation:
Step 1: Write equation
w = gr⁻⁴gk²
Step 2: Solve for g
- Simplify: w = g²r⁻⁴k²
- Simplify: w = (g²k²)/r⁴
- Multiply both sides by r⁴: wr⁴ = g²k²
- Divide both sides by k²: (wr⁴)/k² = g²
- Square root both sides: [tex]g=\frac{r^2\sqrt{w} }{k}[/tex]