Solve sqrt{7^2*10^4-4*10^8:10^3}=

$$\sqrt { 7 ^ { 2 } \cdot 10 ^ { 4 } - 4 \cdot 10 ^ { 8 } : 10 ^ { 3 } } =$$

Evaluate

$$300$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\sqrt{49\times 10^{4}-\frac{4\times 10^{8}}{10^{3}}}$$

Calculate 10 to the power of 4 and get 10000.

$$\sqrt{49\times 10000-\frac{4\times 10^{8}}{10^{3}}}$$

Multiply 49 and 10000 to get 490000.

$$\sqrt{490000-\frac{4\times 10^{8}}{10^{3}}}$$

Cancel out 10^{3} in both numerator and denominator.

$$\sqrt{490000-4\times 10^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\sqrt{490000-4\times 100000}$$

Multiply 4 and 100000 to get 400000.

$$\sqrt{490000-400000}$$

Subtract 400000 from 490000 to get 90000.

$$\sqrt{90000}$$

Calculate the square root of 90000 and get 300.

$$300$$

Factor

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