What is 1/2 (8.85*10^{-12})(4230.4548^2) ?

The solution to 1/2 (8.85*10^{-12})(4230.4548^2) is 0.00007…

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simplify 1/2 (8.85*10^{-12})(4230.4548^2)

simplify

\frac{1}{2} (8.85 \cdot 1 0^{- 12}) (4230.454 8^{2})

0.00007 \dots

Solution steps

\frac{1}{2} (8.85 \cdot 1 0^{- 12}) (4230.454 8^{2})

Apply exponent rule:

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

= 8.85 \cdot 4230.454 8^{2} \cdot \frac{1}{2} \cdot \frac{1}{1 0 ^{12}}

Multiply fractions:

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

= 8.85 \cdot \frac{1 \cdot 1 \cdot 4230.454 8 ^{2}}{1 0 ^{12} \cdot 2}

\frac{1 \cdot 1 \cdot 4230.454 8 ^{2}}{2 \cdot 1 0 ^{12}} = 8.94837 E - 6

= 8.94837 E - 6 \cdot 8.85

Multiply the numbers:

8.85 \cdot 8.94837 E - 6 = 0.00007 \dots

= 0.00007 \dots

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

det ((2 A)^{2} B^{T})^{- 1}

(6.67 \cdot 1 0^{- 11}) (5 \cdot 1 0^{2}) (8 \cdot 1 0^{20})

A (x - 2) e^{- x}

What is 1/2 (8.85*10^{-12})(4230.4548^2) ?
The solution to 1/2 (8.85*10^{-12})(4230.4548^2) is 0.00007…