simplify (2/e)^{-3}

Solution

simplify

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

\frac{e ^{3}}{8}

Solution steps

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

Apply exponent rule:

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

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

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

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

Apply the fraction rule:

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

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

2^{3} = 8

= \frac{e ^{3}}{8}

e^{- y} (1 + e^{- 2 x})

5.5 \cdot 1 0^{- 6}

(1.3 \cdot 1 0^{- 2}) \cdot (0.05)

7.3 \cdot 1 0^{- 6}

e^{- l n (s e c (x) + t a n (x))}