What is expand (x-1)^{1/3 (x-1)} ?

The solution to expand (x-1)^{1/3 (x-1)} is (x-1)^{(x-1)/3}

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expand (x-1)^{1/3 (x-1)}

expand

(x - 1)^{\frac{1}{3} (x - 1)}

(x - 1)^{\frac{x - 1}{3}}

Solution steps

(x - 1)^{\frac{1}{3} (x - 1)}

Expand

\frac{1}{3} (x - 1) : \frac{1}{3} x - 1 \cdot \frac{1}{3}

= (x - 1)^{\frac{1}{3} x - 1 \cdot \frac{1}{3}}

\frac{1}{3} x = \frac{x}{3}

1 \cdot \frac{1}{3} = \frac{1}{3}

= (x - 1)^{\frac{x}{3} - \frac{1}{3}}

Combine the fractions

\frac{x}{3} - \frac{1}{3} : \frac{x - 1}{3}

= (x - 1)^{\frac{x - 1}{3}}

\frac{8}{8 - 7}

(6 x - 3) (2 x + 4 = 3)

\frac{x ^{2} - 5 x - 4}{( x + 2 ) ( x - 2 )}

\frac{2 ( x ^{2} + 2 x + 1 )}{25}

- 4 (2 x - 5 = 15)

What is expand (x-1)^{1/3 (x-1)} ?
The solution to expand (x-1)^{1/3 (x-1)} is (x-1)^{(x-1)/3}