What is (5/2-1)(5/2-1)sqrt(pi) ?

The solution to (5/2-1)(5/2-1)sqrt(pi) is (9sqrt(pi))/4

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simplify (5/2-1)(5/2-1)sqrt(pi)

simplify

(\frac{5}{2} - 1) (\frac{5}{2} - 1) π

\frac{9 π}{4}

Solution steps

(\frac{5}{2} - 1) (\frac{5}{2} - 1) π

Apply exponent rule:

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

(\frac{5}{2} - 1) (\frac{5}{2} - 1) = (\frac{5}{2} - 1)^{1 + 1}

= (\frac{5}{2} - 1)^{1 + 1} π

Add the numbers:

1 + 1 = 2

= (\frac{5}{2} - 1)^{2} π

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

= π \frac{3 ^{2}}{2 ^{2}}

Multiply fractions:

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

= \frac{3 ^{2} π}{2 ^{2}}

3^{2} = 9

= \frac{9 π}{2 ^{2}}

2^{2} = 4

= \frac{9 π}{4}

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

\frac{0.01}{10 0 ^{2}} \cdot 1 0^{- 7}

(25 x y^{2} z) \cdot (130 x^{2} y^{2} z^{2})

e^{- 3.742} \cdot (3.742)^{2} \frac{1}{2 !}

What is (5/2-1)(5/2-1)sqrt(pi) ?
The solution to (5/2-1)(5/2-1)sqrt(pi) is (9sqrt(pi))/4