Solve 1.152*3.75*10^5*10/1.58*1.58

$$\frac { 1.152 \times 3.75 \times 10 ^ { 5 } \times 10 } { 1.58 \times 1.58 }$$

Evaluate

$$\frac{10800000000}{6241}\approx 1730491.908348021$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$\frac{1.152\times 3.75\times 10^{6}}{1.58\times 1.58}$$

Multiply 1.152 and 3.75 to get 4.32.

$$\frac{4.32\times 10^{6}}{1.58\times 1.58}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{4.32\times 1000000}{1.58\times 1.58}$$

Multiply 4.32 and 1000000 to get 4320000.

$$\frac{4320000}{1.58\times 1.58}$$

Multiply 1.58 and 1.58 to get 2.4964.

$$\frac{4320000}{2.4964}$$

Expand \frac{4320000}{2.4964} by multiplying both numerator and the denominator by 10000.

$$\frac{43200000000}{24964}$$

Reduce the fraction \frac{43200000000}{24964} to lowest terms by extracting and canceling out 4.

$$\frac{10800000000}{6241}$$

Factor

$$\frac{2 ^ {10} \cdot 3 ^ {3} \cdot 5 ^ {8}}{79 ^ {2}} = 1730491\frac{5669}{6241} = 1730491.908348021$$