What is (-10.1)(1-21.71)^{-1} ?

The solution to (-10.1)(1-21.71)^{-1} is 0.48768…

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simplify (-10.1)(1-21.71)^{-1}

simplify

(- 10.1) (1 - 21.71)^{- 1}

0.48768 \dots

Solution steps

(- 10.1) (1 - 21.71)^{- 1}

Apply exponent rule:

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

= (- 10.1) \frac{1}{( 1 - 21.71 )}

Remove parentheses:

(- a) = - a

= - 10.1 \cdot \frac{1}{1 - 21.71}

\frac{1}{1 - 21.71} = - \frac{1}{20.71}

= - 10.1 (- \frac{1}{20.71})

Apply rule

- (- a) = a

= 10.1 \cdot \frac{1}{20.71}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 10.1}{20.71}

Multiply the numbers:

1 \cdot 10.1 = 10.1

= \frac{10.1}{20.71}

Divide the numbers:

\frac{10.1}{20.71} = 0.48768 \dots

= 0.48768 \dots

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What is (-10.1)(1-21.71)^{-1} ?
The solution to (-10.1)(1-21.71)^{-1} is 0.48768…