What is (x^{1/(a-1)})/(y^{1/(a-1))} ?

The solution to (x^{1/(a-1)})/(y^{1/(a-1))} is (x/y)^{1/(a-1)}

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simplify (x^{1/(a-1)})/(y^{1/(a-1))}

simplify

\frac{x ^{\frac{1}{a - 1}}}{y ^{\frac{1}{a - 1}}}

(\frac{x}{y})^{\frac{1}{a - 1}}

Solution steps

\frac{x ^{\frac{1}{a - 1}}}{y ^{\frac{1}{a - 1}}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{x ^{\frac{1}{a - 1}}}{y ^{\frac{1}{a - 1}}} = (\frac{x}{y})^{\frac{1}{a - 1}}

= (\frac{x}{y})^{\frac{1}{a - 1}}

4.5614 8^{- 18}

4 (4 \cdot 0^{4} - 12 \cdot 0^{2} + 3) e^{- 0^{2}}

(e^{- 2 x}) (\frac{1}{2} e^{- x} + \frac{1}{2} e^{2 x})

e^{- 2} \cdot e^{3}

What is (x^{1/(a-1)})/(y^{1/(a-1))} ?
The solution to (x^{1/(a-1)})/(y^{1/(a-1))} is (x/y)^{1/(a-1)}