Solve =5.96*10^2-1/1.08*10^21

$$= \frac { 5.96 \times 10 ^ { 2 - 1 } } { 1.08 \times 10 ^ { 21 } }$$

Evaluate

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

Solution Steps

Subtract 1 from 2 to get 1.

$$\frac{5.96\times 10^{1}}{1.08\times 10^{21}}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{5.96\times 10}{1.08\times 10^{21}}$$

Multiply 5.96 and 10 to get 59.6.

$$\frac{59.6}{1.08\times 10^{21}}$$

Calculate 10 to the power of 21 and get 1000000000000000000000.

$$\frac{59.6}{1.08\times 1000000000000000000000}$$

Multiply 1.08 and 1000000000000000000000 to get 1080000000000000000000.

$$\frac{59.6}{1080000000000000000000}$$

Expand \frac{59.6}{1080000000000000000000} by multiplying both numerator and the denominator by 10.

$$\frac{596}{10800000000000000000000}$$

Reduce the fraction \frac{596}{10800000000000000000000} to lowest terms by extracting and canceling out 4.

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

Factor

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