Solve 2942*9,17/0.85(0.95*1*8.38-0.2)*1.024^5

$$\frac { 2942 \times 9,17 } { 0.85 ( 0.95 \times 1 \times 8.38 - 0.2 ) \times 1.024 ^ { 5 } }$$

Evaluate

$$\frac{1029134368896484375}{283332550066176}\approx 3632.248990298$$

Solution Steps

Multiply 2942 and 9.17 to get 26978.14.

$$\frac{26978.14}{0.85\left(0.95\times 1\times 8.38-0.2\right)\times 1.024^{5}}$$

Multiply 0.95 and 1 to get 0.95.

$$\frac{26978.14}{0.85\left(0.95\times 8.38-0.2\right)\times 1.024^{5}}$$

Multiply 0.95 and 8.38 to get 7.961.

$$\frac{26978.14}{0.85\left(7.961-0.2\right)\times 1.024^{5}}$$

Subtract 0.2 from 7.961 to get 7.761.

$$\frac{26978.14}{0.85\times 7.761\times 1.024^{5}}$$

Multiply 0.85 and 7.761 to get 6.59685.

$$\frac{26978.14}{6.59685\times 1.024^{5}}$$

Calculate 1.024 to the power of 5 and get 1.125899906842624.

$$\frac{26978.14}{6.59685\times 1.125899906842624}$$

Multiply 6.59685 and 1.125899906842624 to get 7.4273928004547641344.

$$\frac{26978.14}{7.4273928004547641344}$$

Expand \frac{26978.14}{7.4273928004547641344} by multiplying both numerator and the denominator by 10000000000000000000.

$$\frac{269781400000000000000000}{74273928004547641344}$$

Reduce the fraction \frac{269781400000000000000000}{74273928004547641344} to lowest terms by extracting and canceling out 262144.

$$\frac{1029134368896484375}{283332550066176}$$

Factor

$$\frac{7 \cdot 131 \cdot 1471 \cdot 5 ^ {17}}{3 \cdot 13 \cdot 17 \cdot 199 \cdot 2 ^ {31}} = 3632\frac{70547056133120}{283332550066176} = 3632.2489902982084$$