What is (x_{0}+3t^2)e^{-4t} ?

The solution to (x_{0}+3t^2)e^{-4t} is (x_{0}+3t^2)/(e^{4t)}

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simplify (x_{0}+3t^2)e^{-4t}

simplify

(x_{0} + 3 t^{2}) e^{- 4 t}

\frac{x _{0} + 3 t ^{2}}{e ^{4 t}}

Solution steps

(x_{0} + 3 t^{2}) e^{- 4 t}

Apply exponent rule:

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

= \frac{1}{e ^{4 t}} (x_{0} + 3 t^{2})

Multiply fractions:

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

= \frac{1 \cdot ( x _{0} + 3 t ^{2} )}{e ^{4 t}}

1 \cdot (x_{0} + 3 t^{2}) = x_{0} + 3 t^{2}

= \frac{x _{0} + 3 t ^{2}}{e ^{4 t}}

(4 x^{3}) (5 x^{7})

2.7 \cdot 1 0^{- 7}

(\frac{1}{2})^{- 2} ln (x)

2 \cdot 5.97 \cdot 1 0^{- 17}

6 y^{9} y^{14} y \frac{2 π}{45} 3

What is (x_{0}+3t^2)e^{-4t} ?
The solution to (x_{0}+3t^2)e^{-4t} is (x_{0}+3t^2)/(e^{4t)}