Leysa 100*51^7/50^70

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

Meta

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

Lausnarskref

Reiknaðu 51 í 7. veldi og fáðu 897410677851.

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

Margfaldaðu 100 og 897410677851 til að fá út 89741067785100.

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

Reiknaðu 50 í 70. veldi og fáðu 84703294725430033906832250067964196205139160156250000000000000000000000000000000000000000000000000000000000000000000000.

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

Minnka brotið \frac{89741067785100}{84703294725430033906832250067964196205139160156250000000000000000000000000000000000000000000000000000000000000000000000} eins mikið og hægt er með því að draga og stytta út 100.

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

Stuðull

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