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Popular >

simplify e^3*e^{-(-x+4)}

Solution

simplify

e^{3} \cdot e^{- (- x + 4)}

Solution

e^{x - 1}

Solution steps

e^{3} e^{- (- x + 4)}

Apply exponent rule:

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

e^{3} e^{- (- x + 4)} = e^{3 - (- x + 4)}

= e^{3 - (- x + 4)}

Expand

3 - (- x + 4) : x - 1

= e^{x - 1}

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Frequently Asked Questions (FAQ)

What is e^3*e^{-(-x+4)} ?
The solution to e^3*e^{-(-x+4)} is e^{x-1}