Solve 124*9^3*4/6^5*8^2*27

$$\frac { 124 \times 9 ^ { 3 } \times 4 } { 6 ^ { 5 } \times 8 ^ { 2 } \times 27 }$$

Evaluate

$$\frac{31}{1152}\approx 0.026909722$$

Solution Steps

Calculate 9 to the power of 3 and get 729.

$$\frac{124\times 729\times 4}{6^{5}\times 8^{2}\times 27}$$

Multiply 124 and 729 to get 90396.

$$\frac{90396\times 4}{6^{5}\times 8^{2}\times 27}$$

Multiply 90396 and 4 to get 361584.

$$\frac{361584}{6^{5}\times 8^{2}\times 27}$$

Calculate 6 to the power of 5 and get 7776.

$$\frac{361584}{7776\times 8^{2}\times 27}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{361584}{7776\times 64\times 27}$$

Multiply 7776 and 64 to get 497664.

$$\frac{361584}{497664\times 27}$$

Multiply 497664 and 27 to get 13436928.

$$\frac{361584}{13436928}$$

Reduce the fraction \frac{361584}{13436928} to lowest terms by extracting and canceling out 11664.

$$\frac{31}{1152}$$

Factor

$$\frac{31}{2 ^ {7} \cdot 3 ^ {2}} = 0.026909722222222224$$