Solve 239x^7=6293y^7

$$239 x ^ { 7 } = 6293 y ^ { 7 }$$

Solve for x (complex solution)

$$x\in \frac{239^{\frac{6}{7}}\sqrt[7]{6293}e^{\frac{2\pi i}{7}}y}{239},\frac{239^{\frac{6}{7}}\sqrt[7]{6293}y}{239},\frac{239^{\frac{6}{7}}\sqrt[7]{6293}e^{\frac{4\pi i}{7}}y}{239},\frac{239^{\frac{6}{7}}\sqrt[7]{6293}e^{\frac{6\pi i}{7}}y}{239},\frac{239^{\frac{6}{7}}\sqrt[7]{6293}e^{\frac{8\pi i}{7}}y}{239},\frac{239^{\frac{6}{7}}\sqrt[7]{6293}e^{\frac{10\pi i}{7}}y}{239},\frac{239^{\frac{6}{7}}\sqrt[7]{6293}e^{\frac{12\pi i}{7}}y}{239}$$

Solve for y (complex solution)

$$y\in \frac{6293^{\frac{6}{7}}\sqrt[7]{239}e^{\frac{2\pi i}{7}}x}{6293},\frac{6293^{\frac{6}{7}}\sqrt[7]{239}x}{6293},\frac{6293^{\frac{6}{7}}\sqrt[7]{239}e^{\frac{4\pi i}{7}}x}{6293},\frac{6293^{\frac{6}{7}}\sqrt[7]{239}e^{\frac{6\pi i}{7}}x}{6293},\frac{6293^{\frac{6}{7}}\sqrt[7]{239}e^{\frac{8\pi i}{7}}x}{6293},\frac{6293^{\frac{6}{7}}\sqrt[7]{239}e^{\frac{10\pi i}{7}}x}{6293},\frac{6293^{\frac{6}{7}}\sqrt[7]{239}e^{\frac{12\pi i}{7}}x}{6293}$$

Solve for x

$$x=\frac{239^{\frac{6}{7}}\sqrt[7]{6293}y}{239}$$

Solve for y

$$y=\frac{6293^{\frac{6}{7}}\sqrt[7]{239}x}{6293}$$