Solve (5,2)^4*(10,3)^3/(9,9)^2

$$\frac { ( 5,2 ) ^ { 4 } \cdot ( 10,3 ) ^ { 3 } } { ( 9,9 ) ^ { 2 } }$$

Evaluate

$$\frac{249675006776}{30628125}\approx 8151,821463965$$

Solution Steps

Calculate 5,2 to the power of 4 and get 731,1616.

$$\frac{731,1616\times 10,3^{3}}{9,9^{2}}$$

Calculate 10,3 to the power of 3 and get 1092,727.

$$\frac{731,1616\times 1092,727}{9,9^{2}}$$

Multiply 731,1616 and 1092,727 to get 798960,0216832.

$$\frac{798960,0216832}{9,9^{2}}$$

Calculate 9,9 to the power of 2 and get 98,01.

$$\frac{798960,0216832}{98,01}$$

Expand \frac{798960,0216832}{98,01} by multiplying both numerator and the denominator by 10000000.

$$\frac{7989600216832}{980100000}$$

Reduce the fraction \frac{7989600216832}{980100000} to lowest terms by extracting and canceling out 32.

$$\frac{249675006776}{30628125}$$

Factor

$$\frac{2 ^ {3} \cdot 13 ^ {4} \cdot 103 ^ {3}}{3 ^ {4} \cdot 5 ^ {5} \cdot 11 ^ {2}} = 8151\frac{25159901}{30628125} = 8151.821463964901$$