Solve 1div2.27div10^39

$$1 \div 2.27 \div { 10 }^{ 39 }$$

Evaluate

$$\frac{1}{2270000000000000000000000000000000000000}\approx 4.405286344 \cdot 10^{-40}$$

Solution Steps

Expand \frac{1}{2.27} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{100}{227}}{10^{39}}$$

Calculate 10 to the power of 39 and get 1000000000000000000000000000000000000000.

$$\frac{\frac{100}{227}}{1000000000000000000000000000000000000000}$$

Express \frac{\frac{100}{227}}{1000000000000000000000000000000000000000} as a single fraction.

$$\frac{100}{227\times 1000000000000000000000000000000000000000}$$

Multiply 227 and 1000000000000000000000000000000000000000 to get 227000000000000000000000000000000000000000.

$$\frac{100}{227000000000000000000000000000000000000000}$$

Reduce the fraction \frac{100}{227000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 100.

$$\frac{1}{2270000000000000000000000000000000000000}$$

Factor

$$\frac{1}{227 \cdot 2 ^ {37} \cdot 5 ^ {37}} = 4.405286343612335 \times 10^{-40}$$