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Popular >

simplify (sqrt(e))/(e^2)

Solution

simplify

\frac{e}{e ^{2}}

Solution

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

+1

Solution steps

\frac{e}{e ^{2}}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Join

\frac{1}{2} - 2 : - \frac{3}{2}

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

Apply exponent rule:

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

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

Popular Examples

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2.26012 \cdot 1 0^{- 6}

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3.27 \cdot 1 0^{- 15}

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5.1821 \cdot 1 0^{- 4}

simplify 250^2*1.5*10^{-3}simplify

25 0^{2} \cdot 1.5 \cdot 1 0^{- 3}

simplify 8000(1.4)^{-0.2(11.9999)}simplify

8000 (1.4)^{- 0.2 (11.9999)}

Frequently Asked Questions (FAQ)

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