What is 6.6667x10^{-11}x(5.98x10^{-11})/((6400+700)^2) ?

The solution to 6.6667x10^{-11}x(5.98x10^{-11})/((6400+700)^2) is (39.866866x^3)/(10^{26)*5041}

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simplify 6.6667x10^{-11}x(5.98x10^{-11})/((6400+700)^2)

simplify

6.6667 x 1 0^{- 11} x \frac{5.98 x 1 0 ^{- 11}}{( 6400 + 700 ) ^{2}}

\frac{39.866866 x ^{3}}{1 0 ^{26} \cdot 5041}

Solution steps

6.6667 x \cdot 1 0^{- 11} x \frac{5.98 x \cdot 1 0 ^{- 11}}{( 6400 + 700 ) ^{2}}

Apply exponent rule:

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

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

= 6.6667 x \frac{1}{1 0 ^{11}} x \frac{5.98 x \cdot 1 0 ^{- 11}}{( 6400 + 700 ) ^{2}}

Cancel

\frac{5.98 x \cdot 1 0 ^{- 11}}{( 6400 + 700 ) ^{2}} : \frac{5.98 x}{1 0 ^{15} \cdot 5041}

= 6.6667 x \frac{1}{1 0 ^{11}} x \frac{5.98 x}{1 0 ^{15} \cdot 5041}

Apply the fraction rule:

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

= \frac{6.6667 x \cdot 1 \cdot x \cdot 5.98 x}{1 0 ^{11} \cdot 1 0 ^{15} \cdot 5041}

Simplify

6.6667 x \cdot 1 \cdot x \cdot 5.98 x : 39.866866 x^{3}

= \frac{39.866866 x ^{3}}{1 0 ^{11} \cdot 1 0 ^{15} \cdot 5041}

1 0^{11} \cdot 1 0^{15} = 1 0^{26}

= \frac{39.866866 x ^{3}}{1 0 ^{26} \cdot 5041}

(1.013 \cdot 1 0^{5}) (0.1 \cdot 0.1)

(e^{- t})^{2}

3.25 \cdot 1 0^{- 3}

sinh (b t) e^{- s t}

e^{- 6 t} \cdot e^{- 6 t}

What is 6.6667x10^{-11}x(5.98x10^{-11})/((6400+700)^2) ?
The solution to 6.6667x10^{-11}x(5.98x10^{-11})/((6400+700)^2) is (39.866866x^3)/(10^{26)*5041}