1. **State the problem:** Convert the expression $\frac{2\pi^c}{9}$ into degrees. 2. **Recall the conversion formula:** To convert radians to degrees, use the formula: $$\text{degrees} = \text{radians} \times \frac{180}{\pi}$$ 3. **Apply the formula:** Here, the expression is $\frac{2\pi^c}{9}$ radians. Multiply by $\frac{180}{\pi}$ to convert: $$\frac{2\pi^c}{9} \times \frac{180}{\pi}$$ 4. **Simplify the expression:** Cancel one $\pi$ in numerator and denominator: $$\frac{2\pi^{c-1}}{9} \times 180 = \frac{2 \times 180 \times \pi^{c-1}}{9}$$ 5. **Calculate constants:** $$\frac{2 \times 180}{9} = \frac{360}{9} = 40$$ 6. **Final expression in degrees:** $$40 \pi^{c-1}$$ **Answer:** The expression $\frac{2\pi^c}{9}$ radians equals $40 \pi^{c-1}$ degrees.