Solve 2.4^3*6^4/8^4*3^3=

$$\frac { 2.4 ^ { 3 } \cdot 6 ^ { 4 } } { 8 ^ { 4 } \cdot 3 ^ { 3 } } =$$

Evaluate

$$0.162$$

Solution Steps

Calculate 2.4 to the power of 3 and get 13.824.

$$\frac{13.824\times 6^{4}}{8^{4}\times 3^{3}}$$

Calculate 6 to the power of 4 and get 1296.

$$\frac{13.824\times 1296}{8^{4}\times 3^{3}}$$

Multiply 13.824 and 1296 to get 17915.904.

$$\frac{17915.904}{8^{4}\times 3^{3}}$$

Calculate 8 to the power of 4 and get 4096.

$$\frac{17915.904}{4096\times 3^{3}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{17915.904}{4096\times 27}$$

Multiply 4096 and 27 to get 110592.

$$\frac{17915.904}{110592}$$

Expand \frac{17915.904}{110592} by multiplying both numerator and the denominator by 1000.

$$\frac{17915904}{110592000}$$

Reduce the fraction \frac{17915904}{110592000} to lowest terms by extracting and canceling out 221184.

$$\frac{81}{500}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {2} \cdot 5 ^ {3}} = 0.162$$