Solve 10^3-(10^2-sqrt{100})-10^3div10^2

$${ 10 }^{ 3 } -( { 10 }^{ 2 } - \sqrt{ 100 } )- { 10 }^{ 3 } \div { 10 }^{ 2 }$$

Evaluate

$$900$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 3 to get 1.

$$10^{3}-\left(10^{2}-\sqrt{100}\right)-10^{1}$$

Calculate 10 to the power of 3 and get 1000.

$$1000-\left(10^{2}-\sqrt{100}\right)-10^{1}$$

Calculate 10 to the power of 2 and get 100.

$$1000-\left(100-\sqrt{100}\right)-10^{1}$$

Calculate the square root of 100 and get 10.

$$1000-\left(100-10\right)-10^{1}$$

Subtract 10 from 100 to get 90.

$$1000-90-10^{1}$$

Subtract 90 from 1000 to get 910.

$$910-10^{1}$$

Calculate 10 to the power of 1 and get 10.

$$910-10$$

Subtract 10 from 910 to get 900.

$$900$$

Factor

$$2^{2}\times 3^{2}\times 5^{2}$$