What is (0.9-2)/((0.9-1)^2) ?

The solution to (0.9-2)/((0.9-1)^2) is -110

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simplify (0.9-2)/((0.9-1)^2)

simplify

\frac{0.9 - 2}{( 0.9 - 1 ) ^{2}}

- 110

Solution steps

\frac{0.9 - 2}{( 0.9 - 1 ) ^{2}}

Subtract the numbers:

0.9 - 2 = - 1.1

= \frac{- 1.1}{( 0.9 - 1 ) ^{2}}

(0.9 - 1)^{2} = 0. 1^{2}

= \frac{- 1.1}{0. 1 ^{2}}

Apply the fraction rule:

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

= - \frac{1.1}{0. 1 ^{2}}

0. 1^{2} = 0.01

= - \frac{1.1}{0.01}

Divide the numbers:

\frac{1.1}{0.01} = 110

= - 110

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