What is (-45.9)(1-105.97)^{-2} ?

The solution to (-45.9)(1-105.97)^{-2} is -0.00416…

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simplify (-45.9)(1-105.97)^{-2}

simplify

(- 45.9) (1 - 105.97)^{- 2}

- 0.00416 \dots

Solution steps

(- 45.9) (1 - 105.97)^{- 2}

Apply exponent rule:

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

= (- 45.9) \frac{1}{( 1 - 105.97 ) ^{2}}

Remove parentheses:

(- a) = - a

= - 45.9 \cdot \frac{1}{( 1 - 105.97 ) ^{2}}

\frac{1}{( 1 - 105.97 ) ^{2}} = \frac{1}{104.9 7 ^{2}}

= - 45.9 \cdot \frac{1}{104.9 7 ^{2}}

Multiply fractions:

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

= - \frac{1 \cdot 45.9}{104.9 7 ^{2}}

Multiply the numbers:

1 \cdot 45.9 = 45.9

= - \frac{45.9}{104.9 7 ^{2}}

104.9 7^{2} = 11018.7009

= - \frac{45.9}{11018.7009}

Divide the numbers:

\frac{45.9}{11018.7009} = 0.00416 \dots

= - 0.00416 \dots

(3 y^{2}) \cdot (4 y^{5})

(ln (x))^{2} \cdot ln (x)

(e^{t})^{2} \cdot e^{t}

0.25 e^{- 0.25 x}

2.18 \cdot 1 0^{- 18}

What is (-45.9)(1-105.97)^{-2} ?
The solution to (-45.9)(1-105.97)^{-2} is -0.00416…