What is e^{-12}(5-6e^{-6}) ?

The solution to e^{-12}(5-6e^{-6}) is (5e^6-6)/(e^{18)}

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simplify e^{-12}(5-6e^{-6})

simplify

e^{- 12} (5 - 6 e^{- 6})

\frac{5 e ^{6} - 6}{e ^{18}}

Decimal Notation

0.00003 \dots

Solution steps

e^{- 12} (5 - 6 e^{- 6})

Apply exponent rule:

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

= \frac{1}{e ^{12}} (- 6 e^{- 6} + 5)

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

= \frac{1}{e ^{12}} (- \frac{6}{e ^{6}} + 5)

Multiply fractions:

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

= \frac{1 \cdot ( 5 - \frac{6}{e ^{6}} )}{e ^{12}}

1 \cdot (5 - \frac{6}{e ^{6}}) = 5 - \frac{6}{e ^{6}}

= \frac{5 - \frac{6}{e ^{6}}}{e ^{12}}

Join

5 - \frac{6}{e ^{6}} : \frac{5 e ^{6} - 6}{e ^{6}}

= \frac{\frac{5 e ^{6} - 6}{e ^{6}}}{e ^{12}}

Apply the fraction rule:

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

= \frac{5 e ^{6} - 6}{e ^{6} e ^{12}}

e^{6} e^{12} = e^{18}

= \frac{5 e ^{6} - 6}{e ^{18}}

500 e^{- 2500 (0.1)} (0.1)

e^{- \frac{1}{10} \cdot 12}

e^{- l n ((2 + 3)^{\frac{1}{3}})}

What is e^{-12}(5-6e^{-6}) ?
The solution to e^{-12}(5-6e^{-6}) is (5e^6-6)/(e^{18)}