Solve 18,8^2-81,2^2/37,8^2-22*2^2

$$\frac { 18,8 ^ { 2 } - 81,2 ^ { 2 } } { 37,8 ^ { 2 } - 22 \cdot 2 ^ { 2 } }$$

Evaluate

$$\frac{69}{190}\approx 0,363157895$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$\frac{18\times 64-81\times 2^{2}}{37\times 8^{2}-22\times 2^{2}}$$

Multiply 18 and 64 to get 1152.

$$\frac{1152-81\times 2^{2}}{37\times 8^{2}-22\times 2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{1152-81\times 4}{37\times 8^{2}-22\times 2^{2}}$$

Multiply 81 and 4 to get 324.

$$\frac{1152-324}{37\times 8^{2}-22\times 2^{2}}$$

Subtract 324 from 1152 to get 828.

$$\frac{828}{37\times 8^{2}-22\times 2^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{828}{37\times 64-22\times 2^{2}}$$

Multiply 37 and 64 to get 2368.

$$\frac{828}{2368-22\times 2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{828}{2368-22\times 4}$$

Multiply 22 and 4 to get 88.

$$\frac{828}{2368-88}$$

Subtract 88 from 2368 to get 2280.

$$\frac{828}{2280}$$

Reduce the fraction \frac{828}{2280} to lowest terms by extracting and canceling out 12.

$$\frac{69}{190}$$

Factor

$$\frac{3 \cdot 23}{2 \cdot 5 \cdot 19} = 0.3631578947368421$$