What is 10^{21}e^{-2((6ln(10))/2)} ?

The solution to 10^{21}e^{-2((6ln(10))/2)} is 10^{15}

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simplify 10^{21}e^{-2((6ln(10))/2)}

simplify

1 0^{21} e^{- 2 (\frac{6 l n ( 10 )}{2})}

1 0^{15}

Solution steps

1 0^{21} e^{- 2 (\frac{6 l n ( 10 )}{2})}

Apply exponent rule:

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

= 1 0^{21} \cdot \frac{1}{e ^{2 \cdot \frac{6 l n ( 10 )}{2}}}

\frac{1}{e ^{2 \cdot \frac{6 l n ( 10 )}{2}}} = \frac{1}{1 0 ^{6}}

= 1 0^{21} \cdot \frac{1}{1 0 ^{6}}

Simplify

= 1 0^{15}

e^{- 5.316}

1.380649 \cdot 1 0^{- 23} ln (\frac{16 \cdot 15}{16})

\frac{4}{3} e^{- \frac{2}{3} t}

What is 10^{21}e^{-2((6ln(10))/2)} ?
The solution to 10^{21}e^{-2((6ln(10))/2)} is 10^{15}