Solve 4^{2}+3^{2}-5-2*3^{2}+14^{3}:7^{3}-5^4:5^4+2^2-3^2

$$4 ^ { 2 } + 3 ^ { 2 } - 5 - 2 \times 3 ^ { 2 } + 14 ^ { 3 } : 7 ^ { 3 } - 5 ^ { 4 } : 5 ^ { 4 } + 2 ^ { 2 } - 3 ^ { 2 }$$

Evaluate

$$4$$

Solution Steps

Divide 5^{4} by 5^{4} to get 1.

$$4^{2}+3^{2}-5-2\times 3^{2}+\frac{14^{3}}{7^{3}}-1+2^{2}-3^{2}$$

Calculate 4 to the power of 2 and get 16.

$$16+3^{2}-5-2\times 3^{2}+\frac{14^{3}}{7^{3}}-1+2^{2}-3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$16+9-5-2\times 3^{2}+\frac{14^{3}}{7^{3}}-1+2^{2}-3^{2}$$

Add 16 and 9 to get 25.

$$25-5-2\times 3^{2}+\frac{14^{3}}{7^{3}}-1+2^{2}-3^{2}$$

Subtract 5 from 25 to get 20.

$$20-2\times 3^{2}+\frac{14^{3}}{7^{3}}-1+2^{2}-3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$20-2\times 9+\frac{14^{3}}{7^{3}}-1+2^{2}-3^{2}$$

Multiply 2 and 9 to get 18.

$$20-18+\frac{14^{3}}{7^{3}}-1+2^{2}-3^{2}$$

Subtract 18 from 20 to get 2.

$$2+\frac{14^{3}}{7^{3}}-1+2^{2}-3^{2}$$

Calculate 14 to the power of 3 and get 2744.

$$2+\frac{2744}{7^{3}}-1+2^{2}-3^{2}$$

Calculate 7 to the power of 3 and get 343.

$$2+\frac{2744}{343}-1+2^{2}-3^{2}$$

Divide 2744 by 343 to get 8.

$$2+8-1+2^{2}-3^{2}$$

Add 2 and 8 to get 10.

$$10-1+2^{2}-3^{2}$$

Subtract 1 from 10 to get 9.

$$9+2^{2}-3^{2}$$

Calculate 2 to the power of 2 and get 4.

$$9+4-3^{2}$$

Add 9 and 4 to get 13.

$$13-3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$13-9$$

Subtract 9 from 13 to get 4.

$$4$$

Factor

$$2^{2}$$