What is ((2piα_{1})^{-n/2})/((2piα_{2))^{-n/2}} ?

The solution to ((2piα_{1})^{-n/2})/((2piα_{2))^{-n/2}} is ((α_{1})/(α_{2)})^{-n/2}

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simplify ((2piα_{1})^{-n/2})/((2piα_{2))^{-n/2}}

simplify

\frac{( 2 π α _{1} ) ^{- \frac{n}{2}}}{( 2 π α _{2} ) ^{- \frac{n}{2}}}

(\frac{α _{1}}{α _{2}})^{- \frac{n}{2}}

Solution steps

\frac{( 2 π α _{1} ) ^{- \frac{n}{2}}}{( 2 π α _{2} ) ^{- \frac{n}{2}}}

Apply exponent rule:

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

\frac{( 2 π α _{1} ) ^{- \frac{n}{2}}}{( 2 π α _{2} ) ^{- \frac{n}{2}}} = (\frac{2 π α _{1}}{2 π α _{2}})^{- \frac{n}{2}}

= (\frac{2 π α _{1}}{2 π α _{2}})^{- \frac{n}{2}}

\frac{2 π α _{1}}{2 π α _{2}} = \frac{α _{1}}{α _{2}}

= (\frac{α _{1}}{α _{2}})^{- \frac{n}{2}}

e^{- t} sin (x)

(3 x^{4} y^{5} z) (2 x^{2} y^{8} z^{2})

4.85 x 1 0^{- 4}

\frac{1}{3} (e^{3 t} - 1)^{2} e^{- 5 t}

1000 \cdot 44 \cdot 94.3 \cdot 1 0^{- 5}

What is ((2piα_{1})^{-n/2})/((2piα_{2))^{-n/2}} ?
The solution to ((2piα_{1})^{-n/2})/((2piα_{2))^{-n/2}} is ((α_{1})/(α_{2)})^{-n/2}