Solve =1.23*10^-100/789+

$$= \frac { 1.23 \times 10 ^ { - 100 } } { 789 } +$$

Evaluate

$$\frac{41}{263000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\approx 1.558935361 \cdot 10^{-103}$$

Solution Steps

Calculate 10 to the power of -100 and get \frac{1}{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{1.23\times \frac{1}{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{789}$$

Multiply 1.23 and \frac{1}{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to get \frac{123}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{\frac{123}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{789}$$

Express \frac{\frac{123}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{789} as a single fraction.

$$\frac{123}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\times 789}$$

Multiply 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 and 789 to get 789000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{123}{789000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{123}{789000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 3.

$$\frac{41}{263000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Factor

$$\frac{41}{263 \cdot 2 ^ {102} \cdot 5 ^ {102}} = 1.5589353612167303 \times 10^{-103}$$