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Popular >

simplify e^{-y}(xe^y-1)

Solution

simplify

e^{- y} (x e^{y} - 1)

Solution

\frac{e ^{y} x - 1}{e ^{y}}

Solution steps

e^{- y} (x e^{y} - 1)

Apply exponent rule:

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

1 \cdot (x e^{y} - 1) = e^{y} x - 1

= \frac{e ^{y} x - 1}{e ^{y}}

Popular Examples

simplify (10^{-10.83})*(5)simplify

(1 0^{- 10.83}) \cdot (5)

simplify ((e^t)^2)^4 simplify

((e^{t})^{2})^{4}

simplify x^3(2xe^{2x})simplify

x^{3} (2 x e^{2 x})

simplify e^{-(0.5+1)}simplify

e^{- (0.5 + 1)}

simplify 7.48*10^{-9}simplify

7.48 \cdot 1 0^{- 9}

Frequently Asked Questions (FAQ)

What is e^{-y}(xe^y-1) ?
The solution to e^{-y}(xe^y-1) is (e^yx-1)/(e^y)