Solve 3^10-3^8*1/3^6-81

$$3 ^ { 10 } - 3 ^ { 8 } \times \frac { 1 } { 3 ^ { 6 } - 81 }$$

Evaluate

$$\frac{472311}{8}=59038.875$$

Solution Steps

Calculate 3 to the power of 10 and get 59049.

$$59049-3^{8}\times \frac{1}{3^{6}-81}$$

Calculate 3 to the power of 8 and get 6561.

$$59049-6561\times \frac{1}{3^{6}-81}$$

Calculate 3 to the power of 6 and get 729.

$$59049-6561\times \frac{1}{729-81}$$

Subtract 81 from 729 to get 648.

$$59049-6561\times \frac{1}{648}$$

Multiply 6561 and \frac{1}{648} to get \frac{6561}{648}.

$$59049-\frac{6561}{648}$$

Reduce the fraction \frac{6561}{648} to lowest terms by extracting and canceling out 81.

$$59049-\frac{81}{8}$$

Convert 59049 to fraction \frac{472392}{8}.

$$\frac{472392}{8}-\frac{81}{8}$$

Since \frac{472392}{8} and \frac{81}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{472392-81}{8}$$

Subtract 81 from 472392 to get 472311.

$$\frac{472311}{8}$$

Factor

$$\frac{3 ^ {4} \cdot 7 ^ {3} \cdot 17}{2 ^ {3}} = 59038\frac{7}{8} = 59038.875$$