What is 6.67*10^{-11}(((90)(90))/((40)^2)) ?

The solution to 6.67*10^{-11}(((90)(90))/((40)^2)) is (54027)/(10^{11)*1600}

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simplify 6.67*10^{-11}(((90)(90))/((40)^2))

simplify

6.67 \cdot 1 0^{- 11} (\frac{( 90 ) ( 90 )}{( 40 ) ^{2}})

\frac{54027}{1 0 ^{11} \cdot 1600}

Decimal Notation

3.37669 E - 10

Solution steps

6.67 \cdot 1 0^{- 11} (\frac{( 90 ) ( 90 )}{4 0 ^{2}})

6.67 \cdot 1 0^{- 11} (\frac{( 90 ) ( 90 )}{4 0 ^{2}}) = 6.67 \cdot 1 0^{- 11} \cdot \frac{90 \cdot 90}{4 0 ^{2}}

= 6.67 \cdot 1 0^{- 11} \cdot \frac{90 \cdot 90}{4 0 ^{2}}

Apply exponent rule:

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

1 0^{- 11} = \frac{1}{1 0 ^{11}}

= 6.67 \cdot \frac{1}{1 0 ^{11}} \cdot \frac{90 \cdot 90}{4 0 ^{2}}

Cancel

\frac{90 \cdot 90}{4 0 ^{2}} : \frac{81}{16}

= 6.67 \cdot \frac{1}{1 0 ^{11}} \cdot \frac{81}{16}

6.67 = \frac{667}{100}

= \frac{667}{100} \cdot \frac{1}{1 0 ^{11}} \cdot \frac{81}{16}

\frac{667}{100} \cdot \frac{1}{1 0 ^{11}} \cdot \frac{81}{16} = \frac{54027}{1 0 ^{11} \cdot 1600}

= \frac{54027}{1 0 ^{11} \cdot 1600}

4.6 \cdot (8.85 \cdot 1 0^{- 12})

\frac{1000}{e} \cdot \frac{e ^{2}}{2 ^{2}}

(0) e^{- 4 (0)}

5.39 x 1 0^{- 12}

What is 6.67*10^{-11}(((90)(90))/((40)^2)) ?
The solution to 6.67*10^{-11}(((90)(90))/((40)^2)) is (54027)/(10^{11)*1600}