Solve 6*3^3*1^5-6*3^2*1^4

$$6 \times 3 ^ { 3 } \times 1 ^ { 5 } - 6 \times 3 ^ { 2 } \times 1 ^ { 4 }$$

Evaluate

$$108$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$6\times 27\times 1^{5}-6\times 3^{2}\times 1^{4}$$

Multiply 6 and 27 to get 162.

$$162\times 1^{5}-6\times 3^{2}\times 1^{4}$$

Calculate 1 to the power of 5 and get 1.

$$162\times 1-6\times 3^{2}\times 1^{4}$$

Multiply 162 and 1 to get 162.

$$162-6\times 3^{2}\times 1^{4}$$

Calculate 3 to the power of 2 and get 9.

$$162-6\times 9\times 1^{4}$$

Multiply 6 and 9 to get 54.

$$162-54\times 1^{4}$$

Calculate 1 to the power of 4 and get 1.

$$162-54\times 1$$

Multiply 54 and 1 to get 54.

$$162-54$$

Subtract 54 from 162 to get 108.

$$108$$

Factor

$$2^{2}\times 3^{3}$$