What is (2^{-1}ae^{-3})^{-2} ?

The solution to (2^{-1}ae^{-3})^{-2} is (4e^6)/(a^2)

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simplify (2^{-1}ae^{-3})^{-2}

simplify

(2^{- 1} a e^{- 3})^{- 2}

\frac{4 e ^{6}}{a ^{2}}

Solution steps

(2^{- 1} a e^{- 3})^{- 2}

Apply exponent rule:

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

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

(2^{- 1} a e^{- 3})^{2} = \frac{a ^{2}}{2 ^{2} e ^{6}}

= \frac{1}{\frac{a ^{2}}{2 ^{2} e ^{6}}}

Apply the fraction rule:

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

= \frac{2 ^{2} e ^{6}}{a ^{2}}

2^{2} = 4

= \frac{4 e ^{6}}{a ^{2}}

e^{4} \cdot e^{4}

4 e^{- l n (2)}

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

(e^{- 4 x}) (4 e^{4 x})

42 (22)

What is (2^{-1}ae^{-3})^{-2} ?
The solution to (2^{-1}ae^{-3})^{-2} is (4e^6)/(a^2)