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Popular >

simplify e^{-t+x}*e^{-x}

Solution

simplify

e^{- t + x} \cdot e^{- x}

Solution

e^{- t}

Solution steps

e^{- t + x} e^{- x}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- t + x} e^{- x} = e^{- t + x - x}

= e^{- t + x - x}

Add similar elements:

x - x = 0

= e^{- t}

Popular Examples

simplify (8.99*10^{-9})(1*10^{-6})(1*10^{-6})simplify

(8.99 \cdot 1 0^{- 9}) (1 \cdot 1 0^{- 6}) (1 \cdot 1 0^{- 6})

simplify 1/2 pix^2*x simplify

\frac{1}{2} π x^{2} \cdot x

simplify (12/10000)*2.72^{-(35/22)}simplify

(\frac{12}{10000}) \cdot 2.7 2^{- (\frac{35}{22})}

simplify 2000e^{-24/5}simplify

2000 e^{- \frac{24}{5}}

simplify e^{-0.12(3/12)}*((1-0.65227)*9.6)simplify

e^{- 0.12 (\frac{3}{12})} \cdot ((1 - 0.65227) \cdot 9.6)

Frequently Asked Questions (FAQ)

What is e^{-t+x}*e^{-x} ?
The solution to e^{-t+x}*e^{-x} is e^{-t}