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Popular >

simplify e^3e^{-ln(1-4x)}

Solution

simplify

e^{3} e^{- l n (1 - 4 x)}

Solution

\frac{e ^{3}}{- 4 x + 1}

Solution steps

e^{3} e^{- l n (1 - 4 x)}

Apply exponent rule:

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

e^{3} e^{- l n (1 - 4 x)} = e^{3 - l n (- 4 x + 1)}

= e^{3 - l n (1 - 4 x)}

Apply exponent rule:

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

= e^{- l n (1 - 4 x)} e^{3}

Simplify

e^{- l n (1 - 4 x)} : (1 - 4 x)^{- 1}

= (1 - 4 x)^{- 1} e^{3}

Simplify

= \frac{e ^{3}}{- 4 x + 1}

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Frequently Asked Questions (FAQ)

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