What is 2pi*1/2*(l/g)^{-1/2}*l/g ?

The solution to 2pi*1/2*(l/g)^{-1/2}*l/g is pi(l/g)^{1/2}

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simplify 2pi1/2(l/g)^{-1/2}*l/g

simplify

2 π \cdot \frac{1}{2} \cdot (\frac{l}{g})^{- \frac{1}{2}} \cdot \frac{l}{g}

π (\frac{l}{g})^{\frac{1}{2}}

Solution steps

2 π \frac{1}{2} (\frac{l}{g})^{- \frac{1}{2}} \frac{l}{g}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(\frac{l}{g})^{- \frac{1}{2}} \frac{l}{g} = (\frac{l}{g})^{- \frac{1}{2} + 1}

= 2 π \frac{1}{2} (\frac{l}{g})^{- \frac{1}{2} + 1}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 2 π ( \frac{l}{g} ) ^{- \frac{1}{2} + 1}}{2}

Cancel the common factor:

2

= 1 π (\frac{l}{g})^{- \frac{1}{2} + 1}

(\frac{l}{g})^{- \frac{1}{2} + 1} = (\frac{l}{g})^{\frac{1}{2}}

= 1 π (\frac{l}{g})^{\frac{1}{2}}

Multiply:

1 π = π

= π (\frac{l}{g})^{\frac{1}{2}}

\frac{d}{d x} ((3 x^{2} - y x + 5)^{4})

10 (1)^{2} e^{- 1}

P^{1} (2, 1) P^{2} (- 4, 1) y P^{3} (- 4, - 3)

0.125 \cdot (4.425 \cdot 1 0^{- 1})

What is 2pi*1/2*(l/g)^{-1/2}*l/g ?
The solution to 2pi*1/2*(l/g)^{-1/2}*l/g is pi(l/g)^{1/2}