What is [1-11((1-x^3)^{-1})^{-1}]^{-1} ?

The solution to [1-11((1-x^3)^{-1})^{-1}]^{-1} is 1/(11x^3-10)

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simplify [1-11((1-x^3)^{-1})^{-1}]^{-1}

simplify

[1 - 11 ((1 - x^{3})^{- 1})^{- 1}]^{- 1}

\frac{1}{11 x ^{3} - 10}

Solution steps

(1 - 11 ((1 - x^{3})^{- 1})^{- 1})^{- 1}

Apply exponent rule:

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

(1 - 11 ((1 - x^{3})^{- 1})^{- 1})^{- 1} = \frac{1}{1 - 11 ( ( 1 - x ^{3} ) ^{- 1} ) ^{- 1}}

= \frac{1}{1 - 11 ( ( 1 - x ^{3} ) ^{- 1} ) ^{- 1}}

((1 - x^{3})^{- 1})^{- 1} = 1 - x^{3}

= \frac{1}{1 - 11 ( - x ^{3} + 1 )}

Expand

1 - 11 (1 - x^{3}) : 11 x^{3} - 10

= \frac{1}{11 x ^{3} - 10}

(- 5 x 1 0^{- 7})^{- 2}

\frac{( x ^{10} ) ( x ^{9} )}{( x ^{3} ) ^{4}}

3 x^{4} - 6 x^{2} \cdot a^{2} + 3 a^{4}

x + 1.2 x^{4} + 3 x^{3} + 6 x^{2} + 5 x + 6

80078 f 71 - 432 - 4 a^{4} e - b^{4} a^{2} - 24 f 67963539

What is [1-11((1-x^3)^{-1})^{-1}]^{-1} ?
The solution to [1-11((1-x^3)^{-1})^{-1}]^{-1} is 1/(11x^3-10)