Solve 10^3-10left(2*left(7^2-1^8right)-3*2+2^5right)

$${ 10 }^{ 3 } -10 \left( 2 \times \left( { 7 }^{ 2 } - { 1 }^{ 8 } \right) -3 \times 2+ { 2 }^{ 5 } \right)$$

Evaluate

$$-220$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$1000-10\left(2\left(7^{2}-1^{8}\right)-3\times 2+2^{5}\right)$$

Calculate 7 to the power of 2 and get 49.

$$1000-10\left(2\left(49-1^{8}\right)-3\times 2+2^{5}\right)$$

Calculate 1 to the power of 8 and get 1.

$$1000-10\left(2\left(49-1\right)-3\times 2+2^{5}\right)$$

Subtract 1 from 49 to get 48.

$$1000-10\left(2\times 48-3\times 2+2^{5}\right)$$

Multiply 2 and 48 to get 96.

$$1000-10\left(96-3\times 2+2^{5}\right)$$

Multiply 3 and 2 to get 6.

$$1000-10\left(96-6+2^{5}\right)$$

Subtract 6 from 96 to get 90.

$$1000-10\left(90+2^{5}\right)$$

Calculate 2 to the power of 5 and get 32.

$$1000-10\left(90+32\right)$$

Add 90 and 32 to get 122.

$$1000-10\times 122$$

Multiply 10 and 122 to get 1220.

$$1000-1220$$

Subtract 1220 from 1000 to get -220.

$$-220$$

Factor

$$-220$$