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Popular >

simplify e^{5x}e^{-x}e^{5-x}

Solution

simplify

e^{5 x} e^{- x} e^{5 - x}

Solution

e^{3 x + 5}

Solution steps

e^{5 x} e^{- x} e^{5 - x}

Apply exponent rule:

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

e^{5 x} e^{- x} e^{5 - x} = e^{5 x - x + 5 - x}

= e^{5 x - x + 5 - x}

Simplify

5 x - x + 5 - x : 3 x + 5

= e^{3 x + 5}

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(8.62 \cdot 1 0^{- 5}) (653.15)

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3.8812 \cdot 1 0^{- 4}

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1000 \cdot e^{- 0.045}

Frequently Asked Questions (FAQ)

What is e^{5x}e^{-x}e^{5-x} ?
The solution to e^{5x}e^{-x}e^{5-x} is e^{3x+5}