What is ((x-y)^5)/((y-x)^5) ?

The solution to ((x-y)^5)/((y-x)^5) is -1

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simplify ((x-y)^5)/((y-x)^5)

simplify

\frac{( x - y ) ^{5}}{( y - x ) ^{5}}

- 1

Solution steps

\frac{( x - y ) ^{5}}{( y - x ) ^{5}}

(y - x)^{5} = - (x - y)^{5}

= \frac{( x - y ) ^{5}}{- ( x - y ) ^{5}}

Cancel the common factor:

(x - y)^{5}

= \frac{1}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - 1

\frac{( \frac{( x ^{2} + 3 )}{4} ) ^{2} - ( x ^{3} + x )}{2}

- \frac{7}{8} \cdot a^{2} \cdot b^{5} \cdot \frac{c ^{8}}{( - \frac{5}{2} )} \cdot a \cdot b^{5} \cdot c^{6}

8 y + y

2 \frac{a}{b ^{- 1}} + 5 \frac{b}{a ^{- 1}}

3 x^{3} - 14 x