Solve 100*51^7/50^70

$$\frac { 100 \times 51 ^ { 7 } } { 50 ^ { 70 } }$$

Evaluate

$$\frac{897410677851}{847032947254300339068322500679641962051391601562500000000000000000000000000000000000000000000000000000000000000000000}=1.059475527 \cdot 10^{-105}$$

Solution Steps

Calculate 51 to the power of 7 and get 897410677851.

$$\frac{100\times 897410677851}{50^{70}}$$

Multiply 100 and 897410677851 to get 89741067785100.

$$\frac{89741067785100}{50^{70}}$$

Calculate 50 to the power of 70 and get 84703294725430033906832250067964196205139160156250000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{89741067785100}{84703294725430033906832250067964196205139160156250000000000000000000000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{89741067785100}{84703294725430033906832250067964196205139160156250000000000000000000000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 100.

$$\frac{897410677851}{847032947254300339068322500679641962051391601562500000000000000000000000000000000000000000000000000000000000000000000}$$

Factor

$$\frac{3 ^ {7} \cdot 17 ^ {7}}{2 ^ {68} \cdot 5 ^ {138}} = 1.0594755266132228 \times 10^{-105}$$