What is e^{-(((e^t))/(x-t))^2} ?

The solution to e^{-(((e^t))/(x-t))^2} is 1/(e^{(e^{2t))/((x-t)^2)}}

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simplify e^{-(((e^t))/(x-t))^2}

simplify

e^{- (\frac{( e ^{t} )}{x - t})^{2}}

\frac{1}{e ^{\frac{e ^{2 t}}{( x - t ) ^{2}}}}

Solution steps

e^{- (\frac{( e ^{t} )}{x - t})^{2}}

Apply exponent rule:

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

= \frac{1}{e ^{(\frac{e ^{t}}{x - t})^{2}}}

e^{(\frac{e ^{t}}{x - t})^{2}} = e^{\frac{e ^{2 t}}{( x - t ) ^{2}}}

= \frac{1}{e ^{\frac{e ^{t \cdot 2}}{( x - t ) ^{2}}}}

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(9 \cdot 1 0^{9}) (\frac{( 0.14 \cdot 1 0 ^{- 6} ) ^{2}}{0.2 5 ^{2}})

(8640 0^{2}) (6.673 \cdot 1 0^{- 11}) (5.974 \cdot 1 0^{24})

(4 x y^{3}) (x^{4} y^{3})

What is e^{-(((e^t))/(x-t))^2} ?
The solution to e^{-(((e^t))/(x-t))^2} is 1/(e^{(e^{2t))/((x-t)^2)}}