What is (x^2)/((2pi)^2)(4pi) ?

The solution to (x^2)/((2pi)^2)(4pi) is (x^2)/pi

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simplify (x^2)/((2pi)^2)(4pi)

simplify

\frac{x ^{2}}{( 2 π ) ^{2}} (4 π)

\frac{x ^{2}}{π}

Solution steps

\frac{x ^{2}}{( 2 π ) ^{2}} (4 π)

Apply exponent rule:

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

\frac{x ^{2}}{( 2 π ) ^{2}} = (\frac{x}{2 π})^{2}

= 4 π (\frac{x}{2 π})^{2}

(\frac{x}{2 π})^{2} = \frac{x ^{2}}{2 ^{2} π ^{2}}

= 4 π \frac{x ^{2}}{2 ^{2} π ^{2}}

Multiply fractions:

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

= \frac{x ^{2} \cdot 4 π}{2 ^{2} π ^{2}}

Cancel the common factor:

π

= \frac{4 x ^{2}}{2 ^{2} π}

Factor

4 : 2^{2}

= \frac{2 ^{2} x ^{2}}{2 ^{2} π}

Cancel the common factor:

2^{2}

= \frac{x ^{2}}{π}

a^{x} b^{x} c^{x}

x - 1 x - 3

1200000 (1 - 0.03)^{- 1}

8.39 \cdot 1 0^{- 3}

\frac{( - 2 + 2 i ) ^{2}}{n ^{2}}