Solve 8+5^{4}-3^{2}*2^{2}-4^3+10-7^3-13^2-4^2=

$$8 + 5 ^ { 4 } - 3 ^ { 2 } \times 2 ^ { 2 } - 4 ^ { 3 } + 10 - 7 ^ { 3 } - 13 ^ { 2 } - 4 ^ { 2 } =$$

Evaluate

$$15$$

Solution Steps

Calculate 5 to the power of 4 and get 625.

$$8+625-3^{2}\times 2^{2}-4^{3}+10-7^{3}-13^{2}-4^{2}$$

Add 8 and 625 to get 633.

$$633-3^{2}\times 2^{2}-4^{3}+10-7^{3}-13^{2}-4^{2}$$

Calculate 3 to the power of 2 and get 9.

$$633-9\times 2^{2}-4^{3}+10-7^{3}-13^{2}-4^{2}$$

Calculate 2 to the power of 2 and get 4.

$$633-9\times 4-4^{3}+10-7^{3}-13^{2}-4^{2}$$

Multiply 9 and 4 to get 36.

$$633-36-4^{3}+10-7^{3}-13^{2}-4^{2}$$

Subtract 36 from 633 to get 597.

$$597-4^{3}+10-7^{3}-13^{2}-4^{2}$$

Calculate 4 to the power of 3 and get 64.

$$597-64+10-7^{3}-13^{2}-4^{2}$$

Subtract 64 from 597 to get 533.

$$533+10-7^{3}-13^{2}-4^{2}$$

Add 533 and 10 to get 543.

$$543-7^{3}-13^{2}-4^{2}$$

Calculate 7 to the power of 3 and get 343.

$$543-343-13^{2}-4^{2}$$

Subtract 343 from 543 to get 200.

$$200-13^{2}-4^{2}$$

Calculate 13 to the power of 2 and get 169.

$$200-169-4^{2}$$

Subtract 169 from 200 to get 31.

$$31-4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$31-16$$

Subtract 16 from 31 to get 15.

$$15$$

Factor

$$3\times 5$$