What is 3^{-1}+3^{-2}+3^{-3}+3^{-4} ?

The solution to 3^{-1}+3^{-2}+3^{-3}+3^{-4} is 40/81

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simplify 3^{-1}+3^{-2}+3^{-3}+3^{-4}

simplify

3^{- 1} + 3^{- 2} + 3^{- 3} + 3^{- 4}

\frac{40}{81}

Decimal Notation

0.49382 \dots

Solution steps

3^{- 1} + 3^{- 2} + 3^{- 3} + 3^{- 4}

3^{- 1} = \frac{1}{3}

3^{- 2} = \frac{1}{9}

3^{- 3} = \frac{1}{27}

3^{- 4} = \frac{1}{81}

= \frac{1}{3} + \frac{1}{9} + \frac{1}{27} + \frac{1}{81}

\frac{1}{3} + \frac{1}{9} + \frac{1}{27} + \frac{1}{81} = \frac{40}{81}

= \frac{40}{81}

n (n + 1) (2 n + 1) (3 n^{2} + 3 n - 1)

(x - 4) (2 x + x^{2}) (x - 1)

- 3 - ∣ - 3 ∣

(x^{2})

(- 6) - (- 6)

What is 3^{-1}+3^{-2}+3^{-3}+3^{-4} ?
The solution to 3^{-1}+3^{-2}+3^{-3}+3^{-4} is 40/81