Solve 2*3^2-3*2^2/3^4-5*15

$$\frac { 2 \times 3 ^ { 2 } - 3 \times 2 ^ { 2 } } { 3 ^ { 4 } - 5 \times 15 }$$

Evaluate

$$1$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{2\times 9-3\times 2^{2}}{3^{4}-5\times 15}$$

Multiply 2 and 9 to get 18.

$$\frac{18-3\times 2^{2}}{3^{4}-5\times 15}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{18-3\times 4}{3^{4}-5\times 15}$$

Multiply 3 and 4 to get 12.

$$\frac{18-12}{3^{4}-5\times 15}$$

Subtract 12 from 18 to get 6.

$$\frac{6}{3^{4}-5\times 15}$$

Calculate 3 to the power of 4 and get 81.

$$\frac{6}{81-5\times 15}$$

Multiply 5 and 15 to get 75.

$$\frac{6}{81-75}$$

Subtract 75 from 81 to get 6.

$$\frac{6}{6}$$

Divide 6 by 6 to get 1.

$$1$$

Factor

$$1$$