What is simplify-0.72e^{-0.6(6.9)} ?

The solution to simplify-0.72e^{-0.6(6.9)} is -0.01146…

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simplify-0.72e^{-0.6(6.9)}

simplify

- 0.72 e^{- 0.6 (6.9)}

- 0.01146 \dots

Solution steps

- 0.72 e^{- 0.6 (6.9)}

Apply exponent rule:

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

= - 0.72 \cdot \frac{1}{e ^{0.6 \cdot 6.9}}

Multiply the numbers:

0.6 \cdot 6.9 = 4.14

= - 0.72 \cdot \frac{1}{e ^{4.14}}

Multiply fractions:

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

= - \frac{1 \cdot 0.72}{e ^{4.14}}

Multiply the numbers:

1 \cdot 0.72 = 0.72

= - \frac{0.72}{e ^{4.14}}

Simplify

\frac{0.72}{e ^{4.14}} : 0.01146 \dots

= - 0.01146 \dots

18 \cdot e^{- 9}

e^{- a t} e^{(a + b)}

(10 - 3) \cdot 1 0^{- 6} \cdot 0.064

What is simplify-0.72e^{-0.6(6.9)} ?
The solution to simplify-0.72e^{-0.6(6.9)} is -0.01146…