Solve left(2192div3.6right)^22

$${ \left(2192 \div 3.6 \right) }^{ 22 }$$

Evaluate

$$\frac{17913163366851416339171906003639762082903622029231818580951040000000000000000000000}{984770902183611232881}\approx 1.819018345 \cdot 10^{61}$$

Solution Steps

Expand \frac{2192}{3.6} by multiplying both numerator and the denominator by 10.

$$\left(\frac{21920}{36}\right)^{22}$$

Reduce the fraction \frac{21920}{36} to lowest terms by extracting and canceling out 4.

$$\left(\frac{5480}{9}\right)^{22}$$

Calculate \frac{5480}{9} to the power of 22 and get \frac{17913163366851416339171906003639762082903622029231818580951040000000000000000000000}{984770902183611232881}.

$$\frac{17913163366851416339171906003639762082903622029231818580951040000000000000000000000}{984770902183611232881}$$

Factor

$$\frac{2 ^ {66} \cdot 5 ^ {22} \cdot 137 ^ {22}}{3 ^ {44}} = 1.8190183449908126 \times 10^{61}\frac{1.5314261782189362 \times 10^{20}}{9.847709021836112 \times 10^{20}} = 1.8190183449908126 \times 10^{61}$$