What is 3e^{-2t}(-30e^{2t}) ?

The solution to 3e^{-2t}(-30e^{2t}) is -90

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simplify 3e^{-2t}(-30e^{2t})

simplify

3 e^{- 2 t} (- 30 e^{2 t})

- 90

Solution steps

3 e^{- 2 t} (- 30 e^{2 t})

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{2 t}} (- 30 e^{2 t})

Remove parentheses:

(- a) = - a

= - 3 \cdot \frac{1}{e ^{2 t}} \cdot 30 e^{2 t}

Multiply fractions:

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

= - \frac{1 \cdot 3 \cdot 30 e ^{2 t}}{e ^{2 t}}

Cancel the common factor:

e^{2 t}

= - 1 \cdot 3 \cdot 30

Multiply the numbers:

1 \cdot 3 \cdot 30 = 90

= - 90

248 (120)^{- 0.61} (28)

2.71 8^{- 1.65} \cdot 1.6 5^{3}

\frac{( x + 1 ) ^{- 3}}{( x + 1 ) ^{- 2}}

(9.11 \cdot 1 0^{- 31}) (0.95 c)

2.71 8^{- 1.65} \cdot 1.6 5^{2}