Solve 237^2-4*580*0.36^2*0.92*3.1415926*1024*0.36^2*3.1415926

$${ 237 }^{ 2 } -4 \cdot 580 \times { 0.36 }^{ 2 } \times 0.92 \times 3.1415926 \times 1024 \times { 0.36 }^{ 2 } \times 3.1415926$$

Evaluate

$$-306145.32268762254170753335296$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$237^{2}-4\times 580\times 0.36^{4}\times 0.92\times 3.1415926\times 1024\times 3.1415926$$

Calculate 237 to the power of 2 and get 56169.

$$56169-4\times 580\times 0.36^{4}\times 0.92\times 3.1415926\times 1024\times 3.1415926$$

Multiply 4 and 580 to get 2320.

$$56169-2320\times 0.36^{4}\times 0.92\times 3.1415926\times 1024\times 3.1415926$$

Calculate 0.36 to the power of 4 and get 0.01679616.

$$56169-2320\times 0.01679616\times 0.92\times 3.1415926\times 1024\times 3.1415926$$

Multiply 2320 and 0.01679616 to get 38.9670912.

$$56169-38.9670912\times 0.92\times 3.1415926\times 1024\times 3.1415926$$

Multiply 38.9670912 and 0.92 to get 35.849723904.

$$56169-35.849723904\times 3.1415926\times 1024\times 3.1415926$$

Multiply 35.849723904 and 3.1415926 to get 112.6252273288495104.

$$56169-112.6252273288495104\times 1024\times 3.1415926$$

Multiply 112.6252273288495104 and 1024 to get 115328.2327847418986496.

$$56169-115328.2327847418986496\times 3.1415926$$

Multiply 115328.2327847418986496 and 3.1415926 to get 362314.32268762254170753335296.

$$56169-362314.32268762254170753335296$$

Subtract 362314.32268762254170753335296 from 56169 to get -306145.32268762254170753335296.

$$-306145.32268762254170753335296$$

Factor

$$-306145.32268762254170753335296$$