What is (-156e^{-2t})(13e^{-2t}) ?

The solution to (-156e^{-2t})(13e^{-2t}) is -(2028)/(e^{4t)}

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simplify (-156e^{-2t})(13e^{-2t})

simplify

(- 156 e^{- 2 t}) (13 e^{- 2 t})

- \frac{2028}{e ^{4 t}}

Solution steps

(- 156 e^{- 2 t}) (13 e^{- 2 t})

Apply exponent rule:

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

= 13 \cdot \frac{1}{e ^{2 t}} (- 156 e^{- 2 t})

Remove parentheses:

(- a) = - a

= - 156 e^{- 2 t} \cdot 13 \cdot \frac{1}{e ^{2 t}}

Multiply fractions:

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

= - \frac{1 \cdot 156 e ^{- 2 t} \cdot 13}{e ^{2 t}}

Multiply the numbers:

1 \cdot 156 \cdot 13 = 2028

= - \frac{2028 e ^{- 2 t}}{e ^{2 t}}

Apply exponent rule:

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

\frac{e ^{- 2 t}}{e ^{2 t}} = e^{- 2 t - 2 t} = e^{- 4 t}

= - \frac{2028}{e ^{4 t}}

- 2.6021917 x 1 0^{- 18}

\frac{d}{d x} (y - x^{2} + 4)

(2 g h^{5}) 2

7.5 x 1 0^{- 5}

- 4.5 \cdot 1 0^{- 10} \cdot 415

What is (-156e^{-2t})(13e^{-2t}) ?
The solution to (-156e^{-2t})(13e^{-2t}) is -(2028)/(e^{4t)}