What is expand 1/(\sqrt[8]{(x-3)^3)} ?

The solution to expand 1/(\sqrt[8]{(x-3)^3)} is ((x^3-9x^2+27x-27)^{7/8})/(x^3-9x^2+27x-27)

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expand 1/(\sqrt[8]{(x-3)^3)}

expand

\frac{( x ^{3} - 9 x ^{2} + 27 x - 27 ) ^{\frac{7}{8}}}{x ^{3} - 9 x ^{2} + 27 x - 27}

Solution steps

Rationalize

= \frac{( x ^{3} - 9 x ^{2} + 27 x - 27 ) ^{\frac{7}{8}}}{x ^{3} - 9 x ^{2} + 27 x - 27}

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What is expand 1/(\sqrt[8]{(x-3)^3)} ?
The solution to expand 1/(\sqrt[8]{(x-3)^3)} is ((x^3-9x^2+27x-27)^{7/8})/(x^3-9x^2+27x-27)