What is ((-x)^n)/((x+1)^n) ?

The solution to ((-x)^n)/((x+1)^n) is (-x/(x+1))^n

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simplify ((-x)^n)/((x+1)^n)

simplify

\frac{( - x ) ^{n}}{( x + 1 ) ^{n}}

(- \frac{x}{x + 1})^{n}

Solution steps

\frac{( - x ) ^{n}}{( x + 1 ) ^{n}}

Apply exponent rule:

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

\frac{( - x ) ^{n}}{( x + 1 ) ^{n}} = (\frac{- x}{x + 1})^{n}

= (\frac{- x}{x + 1})^{n}

Apply the fraction rule:

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

= (- \frac{x}{x + 1})^{n}

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