Solve (3^4-2^6-10^0):(5^2-23)

$$( 3 ^ { 4 } - 2 ^ { 6 } - 10 ^ { 0 } ) : ( 5 ^ { 2 } - 23 )$$

Evaluate

$$8$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$\frac{81-2^{6}-10^{0}}{5^{2}-23}$$

Calculate 2 to the power of 6 and get 64.

$$\frac{81-64-10^{0}}{5^{2}-23}$$

Subtract 64 from 81 to get 17.

$$\frac{17-10^{0}}{5^{2}-23}$$

Calculate 10 to the power of 0 and get 1.

$$\frac{17-1}{5^{2}-23}$$

Subtract 1 from 17 to get 16.

$$\frac{16}{5^{2}-23}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{16}{25-23}$$

Subtract 23 from 25 to get 2.

$$\frac{16}{2}$$

Divide 16 by 2 to get 8.

$$8$$

Factor

$$2^{3}$$