Solve 151.12/0.9*42010^3left(0.44-0.06right)*10^24

$$\frac{ 151.12 }{ 0.9 \cdot 420 { 10 }^{ 3 } \left( 0.44-0.06 \right) } \times { 10 }^{ 24 }$$

Evaluate

$$\frac{3778000000000000000000000}{3591}\approx 1.052074631 \cdot 10^{21}$$

Solution Steps

Multiply 0.9 and 420 to get 378.

$$\frac{151.12}{378\times 10^{3}\left(0.44-0.06\right)}\times 10^{24}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{151.12}{378\times 1000\left(0.44-0.06\right)}\times 10^{24}$$

Multiply 378 and 1000 to get 378000.

$$\frac{151.12}{378000\left(0.44-0.06\right)}\times 10^{24}$$

Subtract 0.06 from 0.44 to get 0.38.

$$\frac{151.12}{378000\times 0.38}\times 10^{24}$$

Multiply 378000 and 0.38 to get 143640.

$$\frac{151.12}{143640}\times 10^{24}$$

Expand \frac{151.12}{143640} by multiplying both numerator and the denominator by 100.

$$\frac{15112}{14364000}\times 10^{24}$$

Reduce the fraction \frac{15112}{14364000} to lowest terms by extracting and canceling out 8.

$$\frac{1889}{1795500}\times 10^{24}$$

Calculate 10 to the power of 24 and get 1000000000000000000000000.

$$\frac{1889}{1795500}\times 1000000000000000000000000$$

Express \frac{1889}{1795500}\times 1000000000000000000000000 as a single fraction.

$$\frac{1889\times 1000000000000000000000000}{1795500}$$

Multiply 1889 and 1000000000000000000000000 to get 1889000000000000000000000000.

$$\frac{1889000000000000000000000000}{1795500}$$

Reduce the fraction \frac{1889000000000000000000000000}{1795500} to lowest terms by extracting and canceling out 500.

$$\frac{3778000000000000000000000}{3591}$$

Factor

$$\frac{1889 \cdot 2 ^ {22} \cdot 5 ^ {21}}{7 \cdot 19 \cdot 3 ^ {3}} = 1.0520746310219995 \times 10^{21}\frac{956}{3591} = 1.0520746310219995 \times 10^{21}$$