What is e^{-10}(6-5e^{-2}) ?

The solution to e^{-10}(6-5e^{-2}) is (6e^2-5)/(e^{12)}

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simplify e^{-10}(6-5e^{-2})

simplify

e^{- 10} (6 - 5 e^{- 2})

\frac{6 e ^{2} - 5}{e ^{12}}

Decimal Notation

0.00024 \dots

Solution steps

e^{- 10} (6 - 5 e^{- 2})

Apply exponent rule:

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

= \frac{1}{e ^{10}} (- 5 e^{- 2} + 6)

5 e^{- 2} = \frac{5}{e ^{2}}

= \frac{1}{e ^{10}} (- \frac{5}{e ^{2}} + 6)

Multiply fractions:

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

= \frac{1 \cdot ( 6 - \frac{5}{e ^{2}} )}{e ^{10}}

1 \cdot (6 - \frac{5}{e ^{2}}) = 6 - \frac{5}{e ^{2}}

= \frac{6 - \frac{5}{e ^{2}}}{e ^{10}}

Join

6 - \frac{5}{e ^{2}} : \frac{6 e ^{2} - 5}{e ^{2}}

= \frac{\frac{6 e ^{2} - 5}{e ^{2}}}{e ^{10}}

Apply the fraction rule:

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

= \frac{6 e ^{2} - 5}{e ^{2} e ^{10}}

e^{2} e^{10} = e^{12}

= \frac{6 e ^{2} - 5}{e ^{12}}

6 e^{- \frac{1}{6}}

\frac{( - x ) ^{n}}{( x + 1 ) ^{n}}

- 6 e^{- 2 (0.36166)}

What is e^{-10}(6-5e^{-2}) ?
The solution to e^{-10}(6-5e^{-2}) is (6e^2-5)/(e^{12)}