What is expand (e^2)/2 (2/(e^2))^{1/2} ?

The solution to expand (e^2)/2 (2/(e^2))^{1/2} is (e^2)/2*(2^{1/2})/e

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expand (e^2)/2 (2/(e^2))^{1/2}

expand

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

\frac{e ^{2}}{2} \cdot \frac{2 ^{\frac{1}{2}}}{e}

Decimal Notation

1.92211 \dots

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

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

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

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

(x^{'} x)^{- 1} x^{'} y

\frac{( - 4 π ^{2} ) ^{2}}{4 ^{2}} \cdot 0.06 3^{2}

2.14 \cdot (1.6 \cdot 1 0^{- 19})

2500000 (1.03)^{- 15}

e^{4 t} \cdot e^{2 t}

What is expand (e^2)/2 (2/(e^2))^{1/2} ?
The solution to expand (e^2)/2 (2/(e^2))^{1/2} is (e^2)/2*(2^{1/2})/e