What is expand (e^{3t}-1)^2e^{-5t} ?

The solution to expand (e^{3t}-1)^2e^{-5t} is ((e^{3t}-1)^2)/(e^{5t)}

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expand (e^{3t}-1)^2e^{-5t}

expand

(e^{3 t} - 1)^{2} e^{- 5 t}

\frac{( e ^{3 t} - 1 ) ^{2}}{e ^{5 t}}

Solution steps

(e^{3 t} - 1)^{2} e^{- 5 t}

Apply exponent rule:

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

= \frac{1}{e ^{5 t}} (e^{3 t} - 1)^{2}

Multiply fractions:

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

= \frac{1 \cdot ( e ^{3 t} - 1 ) ^{2}}{e ^{5 t}}

Multiply:

1 \cdot (e^{3 t} - 1)^{2} = (e^{3 t} - 1)^{2}

= \frac{( e ^{3 t} - 1 ) ^{2}}{e ^{5 t}}

(8 a^{5} b^{2}) (3 a^{2} b^{4})

(e^{- 664.6976300000000 \dots}) ((e^{0.3411000000000 \dots})^{1971})

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

3.6 x 1 0^{- 1}

e^{- x} lo g_{e} (1 + e^{x})

What is expand (e^{3t}-1)^2e^{-5t} ?
The solution to expand (e^{3t}-1)^2e^{-5t} is ((e^{3t}-1)^2)/(e^{5t)}