What is (-6e^{-3t})(18e^{-3t}) ?

The solution to (-6e^{-3t})(18e^{-3t}) is -(108)/(e^{6t)}

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simplify (-6e^{-3t})(18e^{-3t})

simplify

(- 6 e^{- 3 t}) (18 e^{- 3 t})

- \frac{108}{e ^{6 t}}

Solution steps

(- 6 e^{- 3 t}) (18 e^{- 3 t})

Apply exponent rule:

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

= 18 \cdot \frac{1}{e ^{3 t}} (- 6 e^{- 3 t})

Remove parentheses:

(- a) = - a

= - 6 e^{- 3 t} \cdot 18 \cdot \frac{1}{e ^{3 t}}

Multiply fractions:

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

= - \frac{1 \cdot 6 e ^{- 3 t} \cdot 18}{e ^{3 t}}

Multiply the numbers:

1 \cdot 6 \cdot 18 = 108

= - \frac{108 e ^{- 3 t}}{e ^{3 t}}

Apply exponent rule:

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

\frac{e ^{- 3 t}}{e ^{3 t}} = e^{- 3 t - 3 t} = e^{- 6 t}

= - \frac{108}{e ^{6 t}}

1.4 \cdot 1 0^{- 18}

44.4545 \cdot 1 0^{- 1}

(2 x) 4 x

5 a^{2} b e^{- 3}

7.9 (1.07)^{- 5}

What is (-6e^{-3t})(18e^{-3t}) ?
The solution to (-6e^{-3t})(18e^{-3t}) is -(108)/(e^{6t)}