Solve 1.44^2*2*3.14div16*1.5*6.02*28.8*27.856

$${ 1.44 }^{ 2 } \times 2 \times 3.14 \div 16 \times 1.5 \times 6.02 \times 28.8 \times 27.856$$

Evaluate

$$5896.083659784192$$

Solution Steps

Calculate 1.44 to the power of 2 and get 2.0736.

$$\frac{2.0736\times 2\times 3.14}{16}\times 1.5\times 6.02\times 28.8\times 27.856$$

Multiply 2.0736 and 2 to get 4.1472.

$$\frac{4.1472\times 3.14}{16}\times 1.5\times 6.02\times 28.8\times 27.856$$

Multiply 4.1472 and 3.14 to get 13.022208.

$$\frac{13.022208}{16}\times 1.5\times 6.02\times 28.8\times 27.856$$

Expand \frac{13.022208}{16} by multiplying both numerator and the denominator by 1000000.

$$\frac{13022208}{16000000}\times 1.5\times 6.02\times 28.8\times 27.856$$

Reduce the fraction \frac{13022208}{16000000} to lowest terms by extracting and canceling out 1024.

$$\frac{12717}{15625}\times 1.5\times 6.02\times 28.8\times 27.856$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{12717}{15625}\times \frac{3}{2}\times 6.02\times 28.8\times 27.856$$

Multiply \frac{12717}{15625} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12717\times 3}{15625\times 2}\times 6.02\times 28.8\times 27.856$$

Do the multiplications in the fraction \frac{12717\times 3}{15625\times 2}.

$$\frac{38151}{31250}\times 6.02\times 28.8\times 27.856$$

Convert decimal number 6.02 to fraction \frac{602}{100}. Reduce the fraction \frac{602}{100} to lowest terms by extracting and canceling out 2.

$$\frac{38151}{31250}\times \frac{301}{50}\times 28.8\times 27.856$$

Multiply \frac{38151}{31250} times \frac{301}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{38151\times 301}{31250\times 50}\times 28.8\times 27.856$$

Do the multiplications in the fraction \frac{38151\times 301}{31250\times 50}.

$$\frac{11483451}{1562500}\times 28.8\times 27.856$$

Convert decimal number 28.8 to fraction \frac{288}{10}. Reduce the fraction \frac{288}{10} to lowest terms by extracting and canceling out 2.

$$\frac{11483451}{1562500}\times \frac{144}{5}\times 27.856$$

Multiply \frac{11483451}{1562500} times \frac{144}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11483451\times 144}{1562500\times 5}\times 27.856$$

Do the multiplications in the fraction \frac{11483451\times 144}{1562500\times 5}.

$$\frac{1653616944}{7812500}\times 27.856$$

Reduce the fraction \frac{1653616944}{7812500} to lowest terms by extracting and canceling out 4.

$$\frac{413404236}{1953125}\times 27.856$$

Convert decimal number 27.856 to fraction \frac{27856}{1000}. Reduce the fraction \frac{27856}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{413404236}{1953125}\times \frac{3482}{125}$$

Multiply \frac{413404236}{1953125} times \frac{3482}{125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{413404236\times 3482}{1953125\times 125}$$

Do the multiplications in the fraction \frac{413404236\times 3482}{1953125\times 125}.

$$\frac{1439473549752}{244140625}$$

Factor

$$\frac{7 \cdot 43 \cdot 157 \cdot 1741 \cdot 2 ^ {3} \cdot 3 ^ {7}}{5 ^ {12}} = 5896\frac{20424752}{244140625} = 5896.083659784192$$