What is 2190*(-0.3)e^{-0.3(2)} ?

The solution to 2190*(-0.3)e^{-0.3(2)} is -360.56924…

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simplify 2190*(-0.3)e^{-0.3(2)}

simplify

2190 \cdot (- 0.3) e^{- 0.3 (2)}

- 360.56924 \dots

Solution steps

2190 (- 0.3) e^{- 0.3 (2)}

Apply exponent rule:

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

= 2190 (- 0.3) \frac{1}{e ^{2 \cdot 0.3}}

Remove parentheses:

(- a) = - a

= - 2190 \cdot 0.3 \cdot \frac{1}{e ^{0.3 \cdot 2}}

Multiply the numbers:

0.3 \cdot 2 = 0.6

= - 2190 \cdot 0.3 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= - 0.3 \cdot \frac{1 \cdot 2190}{e ^{0.6}}

\frac{1 \cdot 2190}{e ^{0.6}} = 1201.89748 \dots

= - 0.3 \cdot 1201.89748 \dots

Multiply the numbers:

0.3 \cdot 1201.89748 \dots = 360.56924 \dots

= - 360.56924 \dots

2.56 \cdot 1 0^{- 6}

80 (4) e^{- 0.5 \cdot 4}

(160 \cdot 1 0^{- 6}) [1 - e^{- 500 (2 \cdot 1 0^{- 3})}]

1.18 \cdot 1 0^{- 5}

12 (9 - 6 t)^{2} (- 2 - 9 t)^{2} (- 5 - 4 t)

What is 2190*(-0.3)e^{-0.3(2)} ?
The solution to 2190*(-0.3)e^{-0.3(2)} is -360.56924…