Solve {left(8/9.052566right)}^2*5222^2

$${ \left( \frac{ 8 }{ 9.052566 } \right) }^{ 2 } \times { 5222 }^{ 2 }$$

Evaluate

$$\frac{436308544000000000000}{20487237796089}\approx 21296601.735314997$$

Solution Steps

Expand \frac{8}{9.052566} by multiplying both numerator and the denominator by 1000000.

$$\left(\frac{8000000}{9052566}\right)^{2}\times 5222^{2}$$

Reduce the fraction \frac{8000000}{9052566} to lowest terms by extracting and canceling out 2.

$$\left(\frac{4000000}{4526283}\right)^{2}\times 5222^{2}$$

Calculate \frac{4000000}{4526283} to the power of 2 and get \frac{16000000000000}{20487237796089}.

$$\frac{16000000000000}{20487237796089}\times 5222^{2}$$

Calculate 5222 to the power of 2 and get 27269284.

$$\frac{16000000000000}{20487237796089}\times 27269284$$

Multiply \frac{16000000000000}{20487237796089} and 27269284 to get \frac{436308544000000000000}{20487237796089}.

$$\frac{436308544000000000000}{20487237796089}$$

Factor

$$\frac{2 ^ {18} \cdot 5 ^ {12} \cdot 7 ^ {2} \cdot 373 ^ {2}}{3 ^ {2} \cdot 251 ^ {2} \cdot 6011 ^ {2}} = 21296601\frac{15064573206511}{20487237796089} = 21296601.735315$$