Solve 7354-5*160*8,93/409.71-5*(8.93)^2

$$\frac { 7354 - 5 \times 160 \times 8,93 } { 409.71 - 5 \times ( 8.93 ) ^ { 2 } }$$

Evaluate

$$\frac{420000}{21971}\approx 19.116107596$$

Solution Steps

Multiply 5 and 160 to get 800.

$$\frac{7354-800\times 8.93}{409.71-5\times 8.93^{2}}$$

Multiply 800 and 8.93 to get 7144.

$$\frac{7354-7144}{409.71-5\times 8.93^{2}}$$

Subtract 7144 from 7354 to get 210.

$$\frac{210}{409.71-5\times 8.93^{2}}$$

Calculate 8.93 to the power of 2 and get 79.7449.

$$\frac{210}{409.71-5\times 79.7449}$$

Multiply 5 and 79.7449 to get 398.7245.

$$\frac{210}{409.71-398.7245}$$

Subtract 398.7245 from 409.71 to get 10.9855.

$$\frac{210}{10.9855}$$

Expand \frac{210}{10.9855} by multiplying both numerator and the denominator by 10000.

$$\frac{2100000}{109855}$$

Reduce the fraction \frac{2100000}{109855} to lowest terms by extracting and canceling out 5.

$$\frac{420000}{21971}$$

Factor

$$\frac{3 \cdot 7 \cdot 2 ^ {5} \cdot 5 ^ {4}}{127 \cdot 173} = 19\frac{2551}{21971} = 19.11610759637704$$