What is 18e^{-0.02(30)}*(-0.02) ?

The solution to 18e^{-0.02(30)}*(-0.02) is -0.19757…

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simplify 18e^{-0.02(30)}*(-0.02)

simplify

18 e^{- 0.02 (30)} \cdot (- 0.02)

- 0.19757 \dots

Solution steps

18 e^{- 0.02 (30)} (- 0.02)

Apply exponent rule:

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

= 18 (- 0.02) \frac{1}{e ^{30 \cdot 0.02}}

Remove parentheses:

(- a) = - a

= - 18 \cdot \frac{1}{e ^{0.02 \cdot 30}} \cdot 0.02

Multiply the numbers:

0.02 \cdot 30 = 0.6

= - 18 \cdot 0.02 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= - 0.02 \cdot \frac{1 \cdot 18}{e ^{0.6}}

\frac{1 \cdot 18}{e ^{0.6}} = 9.87860 \dots

= - 0.02 \cdot 9.87860 \dots

Multiply the numbers:

0.02 \cdot 9.87860 \dots = 0.19757 \dots

= - 0.19757 \dots

e^{- 3 \cdot 0.15}

999 e^{- 6.3}

50 e^{- 3 (3)}

((\frac{1}{2})^{'})^{- 2}

What is 18e^{-0.02(30)}*(-0.02) ?
The solution to 18e^{-0.02(30)}*(-0.02) is -0.19757…