Solve 151.12/0.9*42010^30.44*0.06*10^4

$$\frac{ 151.12 }{ 0.9 \cdot 420 { 10 }^{ 3 } 0.44 \cdot 0.06 } \times { 10 }^{ 4 }$$

Evaluate

$$\frac{944500}{6237}\approx 151.434984768$$

Solution Steps

Multiply 0.9 and 420 to get 378.

$$\frac{151.12}{378\times 10^{3}\times 0.44\times 0.06}\times 10^{4}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{151.12}{378\times 1000\times 0.44\times 0.06}\times 10^{4}$$

Multiply 378 and 1000 to get 378000.

$$\frac{151.12}{378000\times 0.44\times 0.06}\times 10^{4}$$

Multiply 378000 and 0.44 to get 166320.

$$\frac{151.12}{166320\times 0.06}\times 10^{4}$$

Multiply 166320 and 0.06 to get 9979.2.

$$\frac{151.12}{9979.2}\times 10^{4}$$

Expand \frac{151.12}{9979.2} by multiplying both numerator and the denominator by 100.

$$\frac{15112}{997920}\times 10^{4}$$

Reduce the fraction \frac{15112}{997920} to lowest terms by extracting and canceling out 8.

$$\frac{1889}{124740}\times 10^{4}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{1889}{124740}\times 10000$$

Express \frac{1889}{124740}\times 10000 as a single fraction.

$$\frac{1889\times 10000}{124740}$$

Multiply 1889 and 10000 to get 18890000.

$$\frac{18890000}{124740}$$

Reduce the fraction \frac{18890000}{124740} to lowest terms by extracting and canceling out 20.

$$\frac{944500}{6237}$$

Factor

$$\frac{1889 \cdot 2 ^ {2} \cdot 5 ^ {3}}{7 \cdot 11 \cdot 3 ^ {4}} = 151\frac{2713}{6237} = 151.4349847683181$$