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Popular Álgebra >

simplificar (605}{(\frac{pi(20))/4)^2}*(10^3)^2

Solución

simplificar

\frac{605}{( \frac{π ( 20 )}{4} ) ^{2}} \cdot (1 0^{3})^{2}

Solución

\frac{24200000}{π ^{2}}

+1

Decimal

2451972.64414 \dots

Pasos de solución

\frac{605}{( \frac{π ( 20 )}{4} ) ^{2}} (1 0^{3})^{2}

(1 0^{3})^{2} : 1 0^{6}

= \frac{605}{( \frac{π 20}{4} ) ^{2}} \cdot 1 0^{6}

\frac{605}{( \frac{π 20}{4} ) ^{2}} = \frac{1 1 ^{2}}{5 π ^{2}}

= 1 0^{6} \cdot \frac{1 1 ^{2}}{5 π ^{2}}

Multiplicar fracciones:

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

= \frac{1 1 ^{2} \cdot 1 0 ^{6}}{5 π ^{2}}

Factorizar

1 0^{6} : 2^{6} \cdot 5^{6}

= \frac{2 ^{6} \cdot 5 ^{6} \cdot 1 1 ^{2}}{5 π ^{2}}

Eliminar los terminos comunes:

5

= \frac{2 ^{6} \cdot 5 ^{5} \cdot 1 1 ^{2}}{π ^{2}}

2^{6} \cdot 5^{5} \cdot 1 1^{2} = 24200000

= \frac{24200000}{π ^{2}}

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