What is 3(-2)e^{-5(3)} ?

The solution to 3(-2)e^{-5(3)} is -6/(e^{15)}

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simplify 3(-2)e^{-5(3)}

simplify

3 (- 2) e^{- 5 (3)}

- \frac{6}{e ^{15}}

Solution steps

3 (- 2) e^{- 5 (3)}

Apply exponent rule:

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

= 3 (- 2) \frac{1}{e ^{5 \cdot 3}}

Remove parentheses:

(- a) = - a

= - 3 \cdot 2 \cdot \frac{1}{e ^{5 \cdot 3}}

Multiply the numbers:

5 \cdot 3 = 15

= - 3 \cdot 2 \cdot \frac{1}{e ^{15}}

Multiply fractions:

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

= - \frac{1 \cdot 3 \cdot 2}{e ^{15}}

Multiply the numbers:

1 \cdot 3 \cdot 2 = 6

= - \frac{6}{e ^{15}}

e^{- 1650.6}

2.311 \cdot 1 0^{- 5}

(x^{2} y) \cdot y

1 0^{- 100000}

24 e^{- 20 t}