Solve (24^3-2)*1/3*2^3

$$( 24 ^ { 3 } - 2 ) \cdot \frac { 1 } { 3 \cdot 2 ^ { 3 } }$$

Evaluate

$$\frac{6911}{12}\approx 575.916666667$$

Solution Steps

Calculate 24 to the power of 3 and get 13824.

$$\left(13824-2\right)\times \frac{1}{3\times 2^{3}}$$

Subtract 2 from 13824 to get 13822.

$$13822\times \frac{1}{3\times 2^{3}}$$

Calculate 2 to the power of 3 and get 8.

$$13822\times \frac{1}{3\times 8}$$

Multiply 3 and 8 to get 24.

$$13822\times \frac{1}{24}$$

Multiply 13822 and \frac{1}{24} to get \frac{13822}{24}.

$$\frac{13822}{24}$$

Reduce the fraction \frac{13822}{24} to lowest terms by extracting and canceling out 2.

$$\frac{6911}{12}$$

Factor

$$\frac{6911}{2 ^ {2} \cdot 3} = 575\frac{11}{12} = 575.9166666666666$$