Solve 3^97/2^100

$$\frac { 3 ^ { 97 } } { 2 ^ { 100 } }$$

Evaluate

$$\frac{19088056323407827075424486287615602692670648963}{1267650600228229401496703205376}\approx 1.505782139 \cdot 10^{16}$$

Solution Steps

Calculate 3 to the power of 97 and get 19088056323407827075424486287615602692670648963.

$$\frac{19088056323407827075424486287615602692670648963}{2^{100}}$$

Calculate 2 to the power of 100 and get 1267650600228229401496703205376.

$$\frac{19088056323407827075424486287615602692670648963}{1267650600228229401496703205376}$$

Factor

$$\frac{3 ^ {97}}{2 ^ {100}} = 15057821390193156$$