What is (-e^{-x})^{-2} ?

The solution to (-e^{-x})^{-2} is e^{2x}

Popular >

simplify (-e^{-x})^{-2}

simplify

(- e^{- x})^{- 2}

e^{2 x}

Solution steps

(- e^{- x})^{- 2}

Apply exponent rule:

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

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

(- e^{- x})^{2} = (e^{- x})^{2}

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

(e^{- x})^{2} = e^{- 2 x}

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

Apply exponent rule:

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

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

= \frac{1}{\frac{1}{e ^{2 x}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{e ^{2 x}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e^{2 x}

6 (x + 5)^{2} (x + 2) (x - 1)^{2}

e^{- \frac{( 1.6 ) ^{2}}{7.22}}

- 0.7978 e^{- 0.01 (70)}

\frac{( 2.998 \cdot 1 0 ^{8} )}{1} s \cdot (\frac{1}{1} \cdot 1 0^{- 9}) \cdot (\frac{1}{738})

e^{- l n ∣ c o s (θ) ∣}