Solve =596*10^2-1/108*10^21

$$= \frac { 596 \times 10 ^ { 2 - 1 } } { 108 \times 10 ^ { 21 } }$$

Evaluate

$$\frac{149}{2700000000000000000000}\approx 5.518518519 \cdot 10^{-20}$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{149\times 10^{2-1}}{27\times 10^{21}}$$

Subtract 1 from 2 to get 1.

$$\frac{149\times 10^{1}}{27\times 10^{21}}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{149\times 10}{27\times 10^{21}}$$

Multiply 149 and 10 to get 1490.

$$\frac{1490}{27\times 10^{21}}$$

Calculate 10 to the power of 21 and get 1000000000000000000000.

$$\frac{1490}{27\times 1000000000000000000000}$$

Multiply 27 and 1000000000000000000000 to get 27000000000000000000000.

$$\frac{1490}{27000000000000000000000}$$

Reduce the fraction \frac{1490}{27000000000000000000000} to lowest terms by extracting and canceling out 10.

$$\frac{149}{2700000000000000000000}$$

Factor

$$\frac{149}{2 ^ {20} \cdot 3 ^ {3} \cdot 5 ^ {20}} = 5.518518518518519 \times 10^{-20}$$