What is simplify-4(e^{-y})^3e^{-y} ?

The solution to simplify-4(e^{-y})^3e^{-y} is -4/(e^{4y)}

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simplify-4(e^{-y})^3e^{-y}

simplify

- 4 (e^{- y})^{3} e^{- y}

- \frac{4}{e ^{4 y}}

Solution steps

- 4 (e^{- y})^{3} e^{- y}

(e^{- y})^{3} : e^{- 3 y}

= - 4 e^{- 3 y} e^{- y}

Apply exponent rule:

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

= - 4 e^{- 3 y} \frac{1}{e ^{y}}

Multiply fractions:

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

= - \frac{1 \cdot 4 e ^{- 3 y}}{e ^{y}}

Multiply the numbers:

1 \cdot 4 = 4

= - \frac{4 e ^{- 3 y}}{e ^{y}}

Apply exponent rule:

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

\frac{e ^{- 3 y}}{e ^{y}} = e^{- 3 y - y} = e^{- 4 y}

= - \frac{4}{e ^{4 y}}

a (x - b)^{2} (x - c)^{2}

(25 x^{2}) (4 x^{3})

100000 e^{- 0.01 x}

2 n \cdot m

t^{2} (6 t^{- 4} ln (t))

What is simplify-4(e^{-y})^3e^{-y} ?
The solution to simplify-4(e^{-y})^3e^{-y} is -4/(e^{4y)}