Solve 2*1,38*10^-23*840-360/2000^2-1500^2=

$$2 \cdot 1,38 \cdot 10 ^ { - 23 } \cdot \frac { 840 - 360 } { 2000 ^ { 2 } - 1500 ^ { 2 } } =$$

Evaluate

$$\frac{207}{27343750000000000000000000000}\approx 7,570285714 \cdot 10^{-27}$$

Solution Steps

Multiply 2 and 1,38 to get 2,76.

$$2,76\times 10^{-23}\times \frac{840-360}{2000^{2}-1500^{2}}$$

Calculate 10 to the power of -23 and get \frac{1}{100000000000000000000000}.

$$2,76\times \frac{1}{100000000000000000000000}\times \frac{840-360}{2000^{2}-1500^{2}}$$

Multiply 2,76 and \frac{1}{100000000000000000000000} to get \frac{69}{2500000000000000000000000}.

$$\frac{69}{2500000000000000000000000}\times \frac{840-360}{2000^{2}-1500^{2}}$$

Subtract 360 from 840 to get 480.

$$\frac{69}{2500000000000000000000000}\times \frac{480}{2000^{2}-1500^{2}}$$

Calculate 2000 to the power of 2 and get 4000000.

$$\frac{69}{2500000000000000000000000}\times \frac{480}{4000000-1500^{2}}$$

Calculate 1500 to the power of 2 and get 2250000.

$$\frac{69}{2500000000000000000000000}\times \frac{480}{4000000-2250000}$$

Subtract 2250000 from 4000000 to get 1750000.

$$\frac{69}{2500000000000000000000000}\times \frac{480}{1750000}$$

Reduce the fraction \frac{480}{1750000} to lowest terms by extracting and canceling out 80.

$$\frac{69}{2500000000000000000000000}\times \frac{6}{21875}$$

Multiply \frac{69}{2500000000000000000000000} and \frac{6}{21875} to get \frac{207}{27343750000000000000000000000}.

$$\frac{207}{27343750000000000000000000000}$$

Factor

$$\frac{23 \cdot 3 ^ {2}}{7 \cdot 2 ^ {22} \cdot 5 ^ {30}} = 7.570285714285714 \times 10^{-27}$$