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Popular >

simplify ((-1)^n)/(2^n)

Solution

simplify

\frac{( - 1 ) ^{n}}{2 ^{n}}

Solution

(- \frac{1}{2})^{n}

Solution steps

\frac{( - 1 ) ^{n}}{2 ^{n}}

Apply exponent rule:

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

\frac{( - 1 ) ^{n}}{2 ^{n}} = (\frac{- 1}{2})^{n}

= (\frac{- 1}{2})^{n}

Apply the fraction rule:

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

= (- \frac{1}{2})^{n}

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Frequently Asked Questions (FAQ)

What is ((-1)^n)/(2^n) ?
The solution to ((-1)^n)/(2^n) is (-1/2)^n