Solve 75/57*5.2^22

$$\frac{ 75 }{ 57 } \times { 5.2 }^{ 22 }$$

Evaluate

$$\frac{13471428653161560586981973426176}{1811981201171875}\approx 7.434640406 \cdot 10^{15}$$

Solution Steps

Reduce the fraction \frac{75}{57} to lowest terms by extracting and canceling out 3.

$$\frac{25}{19}\times 5.2^{22}$$

Calculate 5.2 to the power of 22 and get 5650326708567014.6216220839069303701504.

$$\frac{25}{19}\times 5650326708567014.6216220839069303701504$$

Convert decimal number 5650326708567014.6216220839069303701504 to fraction \frac{13794742940837438041069540788404224}{10000000000}. Reduce the fraction \frac{13794742940837438041069540788404224}{10000000000} to lowest terms by extracting and canceling out 1024.

$$\frac{25}{19}\times \frac{13471428653161560586981973426176}{2384185791015625}$$

Multiply \frac{25}{19} times \frac{13471428653161560586981973426176}{2384185791015625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 13471428653161560586981973426176}{19\times 2384185791015625}$$

Do the multiplications in the fraction \frac{25\times 13471428653161560586981973426176}{19\times 2384185791015625}.

$$\frac{336785716329039014674549335654400}{45299530029296875}$$

Reduce the fraction \frac{336785716329039014674549335654400}{45299530029296875} to lowest terms by extracting and canceling out 25.

$$\frac{13471428653161560586981973426176}{1811981201171875}$$

Factor

$$\frac{2 ^ {22} \cdot 13 ^ {22}}{19 \cdot 5 ^ {20}} = 7434640406009230\frac{307167995363478}{1811981201171875} = 7434640406009230$$