What is (-4.8)(1-17.18)^{-1} ?

The solution to (-4.8)(1-17.18)^{-1} is 0.29666…

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simplify (-4.8)(1-17.18)^{-1}

simplify

(- 4.8) (1 - 17.18)^{- 1}

0.29666 \dots

Solution steps

(- 4.8) (1 - 17.18)^{- 1}

Apply exponent rule:

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

= (- 4.8) \frac{1}{( 1 - 17.18 )}

Remove parentheses:

(- a) = - a

= - 4.8 \cdot \frac{1}{1 - 17.18}

\frac{1}{1 - 17.18} = - \frac{1}{16.18}

= - 4.8 (- \frac{1}{16.18})

Apply rule

- (- a) = a

= 4.8 \cdot \frac{1}{16.18}

Multiply fractions:

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

= \frac{1 \cdot 4.8}{16.18}

Multiply the numbers:

1 \cdot 4.8 = 4.8

= \frac{4.8}{16.18}

Divide the numbers:

\frac{4.8}{16.18} = 0.29666 \dots

= 0.29666 \dots

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