Solve 12^2-12^2div((9^2-sqrt{1})divsqrt{100})*7

$${ 12 }^{ 2 } - { 12 }^{ 2 } \div (( { 9 }^{ 2 } - \sqrt{ 1 } ) \div \sqrt{ 100 } ) \times 7$$

Evaluate

$$18$$

Solution Steps

Calculate 12 to the power of 2 and get 144.

$$144-7\times \frac{12^{2}}{\frac{9^{2}-\sqrt{1}}{\sqrt{100}}}$$

Calculate 12 to the power of 2 and get 144.

$$144-7\times \frac{144}{\frac{9^{2}-\sqrt{1}}{\sqrt{100}}}$$

Calculate 9 to the power of 2 and get 81.

$$144-7\times \frac{144}{\frac{81-\sqrt{1}}{\sqrt{100}}}$$

Calculate the square root of 1 and get 1.

$$144-7\times \frac{144}{\frac{81-1}{\sqrt{100}}}$$

Subtract 1 from 81 to get 80.

$$144-7\times \frac{144}{\frac{80}{\sqrt{100}}}$$

Calculate the square root of 100 and get 10.

$$144-7\times \frac{144}{\frac{80}{10}}$$

Divide 80 by 10 to get 8.

$$144-7\times \frac{144}{8}$$

Divide 144 by 8 to get 18.

$$144-7\times 18$$

Multiply 7 and 18 to get 126.

$$144-126$$

Subtract 126 from 144 to get 18.

$$18$$

Factor

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