What is 3(245/360*pi(3)^2) ?

The solution to 3(245/360*pi(3)^2) is (147pi)/8

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simplify 3(245/360*pi(3)^2)

simplify

3 (\frac{245}{360} \cdot π (3)^{2})

\frac{147 π}{8}

Solution steps

3 (\frac{245}{360} π (3)^{2})

Apply exponent rule:

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

3 \cdot 3^{2} = 3^{1 + 2}

= \frac{245}{360} π 3^{1 + 2}

Add the numbers:

1 + 2 = 3

= \frac{245}{360} π 3^{3}

\frac{245}{360} = \frac{49}{72}

= 3^{3} π \frac{49}{72}

Multiply fractions:

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

= \frac{49 π 3 ^{3}}{72}

Factor

72 : 2^{3} \cdot 3^{2}

= \frac{3 ^{3} \cdot 49 π}{2 ^{3} \cdot 3 ^{2}}

Cancel

\frac{49 π 3 ^{3}}{2 ^{3} \cdot 3 ^{2}} : \frac{49 \cdot 3 π}{2 ^{3}}

= \frac{49 \cdot 3 π}{2 ^{3}}

Multiply the numbers:

49 \cdot 3 = 147

= \frac{147 π}{2 ^{3}}

2^{3} = 8

= \frac{147 π}{8}

6 (1.3)^{- 1}

4.2 \cdot 1 0^{- 3} \frac{\partial}{\partial x} (34)

2 \cdot (2 e^{2 x}) (1 + e^{2 x})^{2}

((- 4)^{2^{^{'}}})^{- 3^{^{'}}}