What is e^{-3}(-(sqrt(2))/2-1) ?

The solution to e^{-3}(-(sqrt(2))/2-1) is (-1-sqrt(2))/(sqrt(2)e^3)

Popular >

simplify e^{-3}(-(sqrt(2))/2-1)

simplify

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

\frac{- 1 - 2}{2 e ^{3}}

Decimal Notation

- 0.08499 \dots

Solution steps

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

Apply exponent rule:

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

= \frac{1}{e ^{3}} (- \frac{2}{2} - 1)

Cancel

\frac{2}{2} : \frac{1}{2}

= \frac{1}{e ^{3}} (- \frac{1}{2} - 1)

Multiply fractions:

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

= \frac{1 \cdot ( - \frac{1}{2} - 1 )}{e ^{3}}

1 \cdot (- \frac{1}{2} - 1) = - \frac{1}{2} - 1

= \frac{- \frac{1}{2} - 1}{e ^{3}}

Join

- \frac{1}{2} - 1 : \frac{- 1 - 2}{2}

= \frac{\frac{- 1 - 2}{2}}{e ^{3}}

Apply the fraction rule:

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

= \frac{- 1 - 2}{2 e ^{3}}

\frac{1}{2} \cdot 0.3 2^{2} \cdot 0.5 2^{- 2}

x^{2} e^{- 9 x}

1.68 \times 1 0^{- 8} \frac{554}{0.00019625}

3^{\frac{1}{4}} \times 2 7^{\frac{1}{4}}

What is e^{-3}(-(sqrt(2))/2-1) ?
The solution to e^{-3}(-(sqrt(2))/2-1) is (-1-sqrt(2))/(sqrt(2)e^3)