Solve 14.7sqrt{x}=x^1/7=1/y^x=y^-x

$$14.7 \sqrt { x } = x ^ { 1 / 7 } = \frac { 1 } { y ^ { x } } = y ^ { - x }$$

Evaluate (complex solution)

$$\sqrt[7]{x}=\frac{1}{y^{x}}\text{ and }x=\frac{100\times 277830^{0.8}}{4202539929}$$

Solve for x

$$x = \frac{100 \cdot 10 ^ {\frac{4}{5}} \sqrt[5]{147}}{3176523} = 0.0005389040689408429$$

$$\left(Denominator(-\frac{100\times 10^{\frac{4}{5}}\sqrt[5]{147}}{3176523})\text{bmod}2=1\text{ and }y=-\left(\frac{100000000000000^{\frac{34}{35}}\sqrt[35]{2200101344710858346413248902169}}{100000000000000}\right)^{\frac{21609\times 147^{\frac{4}{5}}\sqrt[5]{10}}{1000}}\text{ and }Numerator(\frac{100\times 10^{\frac{4}{5}}\sqrt[5]{147}}{3176523})\text{bmod}2=0\text{ and }Denominator(\frac{100\times 10^{\frac{4}{5}}\sqrt[5]{147}}{3176523})\text{bmod}2=1\right)\text{ or }y=\left(\frac{100000000000000^{\frac{34}{35}}\sqrt[35]{2200101344710858346413248902169}}{100000000000000}\right)^{\frac{21609\times 147^{\frac{4}{5}}\sqrt[5]{10}}{1000}}$$

Solve for y

$$\left\{\begin{matrix}y=\left(\frac{100000000000000^{\frac{34}{35}}\sqrt[35]{2200101344710858346413248902169}}{100000000000000}\right)^{\frac{21609\times 147^{\frac{4}{5}}\sqrt[5]{10}}{1000}}\text{, }&x=\frac{1000\times \frac{10^{\frac{4}{5}}}{10}\times \frac{\sqrt[5]{147}}{147}}{21609}\\y=-\left(\frac{100000000000000^{\frac{34}{35}}\sqrt[35]{2200101344710858346413248902169}}{100000000000000}\right)^{\frac{21609\times 147^{\frac{4}{5}}\sqrt[5]{10}}{1000}}\text{, }&Numerator(\frac{1000\times \frac{10^{\frac{4}{5}}}{10}\times \frac{\sqrt[5]{147}}{147}}{21609})\text{bmod}2=0\text{ and }Denominator(\frac{1000\times \frac{10^{\frac{4}{5}}}{10}\times \frac{\sqrt[5]{147}}{147}}{21609})\text{bmod}2=1\text{ and }x=\frac{1000\times \frac{10^{\frac{4}{5}}}{10}\times \frac{\sqrt[5]{147}}{147}}{21609}\end{matrix}\right.$$