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Popular >

simplify ((3pi)/2)^2

Solution

simplify

(\frac{3 π}{2})^{2}

Solution

\frac{9 π ^{2}}{4}

+1

Decimal Notation

22.20660 \dots

Solution steps

(\frac{3 π}{2})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 3 π ) ^{2}}{2 ^{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 π)^{2} = 3^{2} π^{2}

= \frac{3 ^{2} π ^{2}}{2 ^{2}}

3^{2} = 9

= \frac{9 π ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{9 π ^{2}}{4}

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Frequently Asked Questions (FAQ)

What is ((3pi)/2)^2 ?
The solution to ((3pi)/2)^2 is (9pi^2)/4