What is simplify-3e^{(-3t)}(1+10e^{(-3t)})^2 ?

The solution to simplify-3e^{(-3t)}(1+10e^{(-3t)})^2 is -(3(10e^{-3t}+1)^2)/(e^{3t)}

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simplify-3e^{(-3t)}(1+10e^{(-3t)})^2

simplify

- 3 e^{(- 3 t)} (1 + 10 e^{(- 3 t)})^{2}

- \frac{3 ( 10 e ^{- 3 t} + 1 ) ^{2}}{e ^{3 t}}

Solution steps

- 3 e^{(- 3 t)} (1 + 10 e^{(- 3 t)})^{2}

Apply exponent rule:

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

= - 3 \cdot \frac{1}{e ^{3 t}} (10 e^{- 3 t} + 1)^{2}

Multiply fractions:

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

= - \frac{1 \cdot 3 ( 1 + 10 e ^{- 3 t} ) ^{2}}{e ^{3 t}}

Multiply the numbers:

1 \cdot 3 = 3

= - \frac{3 ( 10 e ^{- 3 t} + 1 ) ^{2}}{e ^{3 t}}

(6, - 3)^{2} (- 2, - 3)^{2}

2.304 \cdot 1 0^{- 5}

(1.6 x 1 0^{15}) (4 x 1 0^{- 1})

e^{- (l n (x + c))}

(x + y)^{- n}

What is simplify-3e^{(-3t)}(1+10e^{(-3t)})^2 ?
The solution to simplify-3e^{(-3t)}(1+10e^{(-3t)})^2 is -(3(10e^{-3t}+1)^2)/(e^{3t)}