What is simplify-4x^{-3}+8x^{-2}-5x^{-1}+1 ?

The solution to simplify-4x^{-3}+8x^{-2}-5x^{-1}+1 is -4/(x^3)+8/(x^2)-5/x+1

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simplify-4x^{-3}+8x^{-2}-5x^{-1}+1

simplify

- 4 x^{- 3} + 8 x^{- 2} - 5 x^{- 1} + 1

- \frac{4}{x ^{3}} + \frac{8}{x ^{2}} - \frac{5}{x} + 1

Solution steps

- 4 x^{- 3} + 8 x^{- 2} - 5 x^{- 1} + 1

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

x^{- 2} = \frac{1}{x ^{2}}

5 x^{- 1} = 5 \cdot \frac{1}{x}

= - 4 \cdot \frac{1}{x ^{3}} + 8 \cdot \frac{1}{x ^{2}} - 5 \cdot \frac{1}{x} + 1

- 4 \cdot \frac{1}{x ^{3}} = - \frac{4}{x ^{3}}

8 \cdot \frac{1}{x ^{2}} = \frac{8}{x ^{2}}

5 \cdot \frac{1}{x} = \frac{5}{x}

= - \frac{4}{x ^{3}} + \frac{8}{x ^{2}} - \frac{5}{x} + 1

3 \cdot 3 \cdot 3 \cdot 3

\frac{1}{2}!

\frac{30}{50}

5 \cdot 5 \cdot 5

\frac{12}{1 - i}

What is simplify-4x^{-3}+8x^{-2}-5x^{-1}+1 ?
The solution to simplify-4x^{-3}+8x^{-2}-5x^{-1}+1 is -4/(x^3)+8/(x^2)-5/x+1