What is (6.67*10^{-11})*(2^2)/(0.86^2) ?

The solution to (6.67*10^{-11})*(2^2)/(0.86^2) is 3.60736E-10

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simplify (6.6710^{-11})(2^2)/(0.86^2)

simplify

(6.67 \cdot 1 0^{- 11}) \cdot \frac{2 ^{2}}{0.8 6 ^{2}}

3.60736 E - 10

Solution steps

(6.67 \cdot 1 0^{- 11}) \frac{2 ^{2}}{0.8 6 ^{2}}

Apply exponent rule:

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

= 6.67 \cdot \frac{1}{1 0 ^{11}} \cdot \frac{2 ^{2}}{0.8 6 ^{2}}

Apply exponent rule:

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

\frac{2 ^{2}}{0.8 6 ^{2}} = (\frac{2}{0.86})^{2}

= 6.67 (\frac{2}{0.86})^{2} \frac{1}{1 0 ^{11}}

(\frac{2}{0.86})^{2} = \frac{2 ^{2}}{0.8 6 ^{2}}

= 6.67 \cdot \frac{1}{1 0 ^{11}} \cdot \frac{2 ^{2}}{0.8 6 ^{2}}

Multiply fractions:

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

= 6.67 \cdot \frac{2 ^{2} \cdot 1}{1 0 ^{11} \cdot 0.8 6 ^{2}}

\frac{1 \cdot 2 ^{2}}{1 0 ^{11} \cdot 0.8 6 ^{2}} = 5.40833 E - 11

= 5.40833 E - 11 \cdot 6.67

Multiply the numbers:

6.67 \cdot 5.40833 E - 11 = 3.60736 E - 10

= 3.60736 E - 10

3.6 x 1 0^{- 5} \frac{W}{m ^{2}}

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(6.3) (\frac{1}{3})^{3} (\frac{2}{3})^{3}

What is (6.67*10^{-11})*(2^2)/(0.86^2) ?
The solution to (6.67*10^{-11})*(2^2)/(0.86^2) is 3.60736E-10