What is 2(6.67*10^{-11})(6*10^{23})(((7.05-4.09)/(7.05*4.09))*10^{-6}) ?

The solution to 2(6.67*10^{-11})(6*10^{23})(((7.05-4.09)/(7.05*4.09))*10^{-6}) is 8216490.66222…

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simplify 2(6.6710^{-11})(610^{23})(((7.05-4.09)/(7.054.09))10^{-6})

simplify

2 (6.67 \cdot 1 0^{- 11}) (6 \cdot 1 0^{23}) ((\frac{7.05 - 4.09}{7.05 \cdot 4.09}) \cdot 1 0^{- 6})

8216490.66222 \dots

Solution steps

2 (6.67 \cdot 1 0^{- 11}) (6 \cdot 1 0^{23}) ((\frac{7.05 - 4.09}{7.05 \cdot 4.09}) \cdot 1 0^{- 6})

Apply exponent rule:

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

= 1 0^{- 6} \cdot 1 0^{23} \cdot 2 \cdot 6 \cdot 6.67 \cdot \frac{1}{1 0 ^{11}} \cdot \frac{7.05 - 4.09}{4.09 \cdot 7.05}

Apply exponent rule:

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

= 1 0^{23} \cdot 2 \cdot 6 \cdot 6.67 \cdot \frac{1}{1 0 ^{6}} \cdot \frac{1}{1 0 ^{11}} \cdot \frac{7.05 - 4.09}{4.09 \cdot 7.05}

\frac{7.05 - 4.09}{7.05 \cdot 4.09} = \frac{2.96}{28.8345}

= 1 0^{23} \cdot 2 \cdot 6 \cdot 6.67 \cdot \frac{1}{1 0 ^{6}} \cdot \frac{1}{1 0 ^{11}} \cdot \frac{2.96}{28.8345}

Multiply fractions:

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

= 6.67 \cdot \frac{1 0 ^{23} \cdot 1 \cdot 1 \cdot 2 \cdot 6 \cdot 2.96}{1 0 ^{11} \cdot 1 0 ^{6} \cdot 28.8345}

\frac{1 \cdot 2.96 \cdot 1 \cdot 2 \cdot 6 \cdot 1 0 ^{23}}{1 0 ^{11} \cdot 28.8345 \cdot 1 0 ^{6}} = 1231857.67049 \dots

= 6.67 \cdot 1231857.67049 \dots

Multiply the numbers:

6.67 \cdot 1231857.67049 \dots = 8216490.66222 \dots

= 8216490.66222 \dots

- x \cdot e^{- l n (x)}

65 e^{- 0.0277 (200)}

2 + 3 \times 2 - 3

0.059 (\frac{8.311}{0.33})^{- 0.54}

e^{- 0.0675 \cdot 8}

What is 2(6.67*10^{-11})(6*10^{23})(((7.05-4.09)/(7.05*4.09))*10^{-6}) ?
The solution to 2(6.67*10^{-11})(6*10^{23})(((7.05-4.09)/(7.05*4.09))*10^{-6}) is 8216490.66222…