Solve sqrt{100}+sqrt{25}:(2^2+5^0)-1^4

$$\sqrt { 100 } + \sqrt { 25 } : ( 2 ^ { 2 } + 5 ^ { 0 } ) - 1 ^ { 4 }$$

Evaluate

$$10$$

Solution Steps

Calculate the square root of 100 and get 10.

$$10+\frac{\sqrt{25}}{2^{2}+5^{0}}-1^{4}$$

Calculate the square root of 25 and get 5.

$$10+\frac{5}{2^{2}+5^{0}}-1^{4}$$

Calculate 2 to the power of 2 and get 4.

$$10+\frac{5}{4+5^{0}}-1^{4}$$

Calculate 5 to the power of 0 and get 1.

$$10+\frac{5}{4+1}-1^{4}$$

Add 4 and 1 to get 5.

$$10+\frac{5}{5}-1^{4}$$

Divide 5 by 5 to get 1.

$$10+1-1^{4}$$

Add 10 and 1 to get 11.

$$11-1^{4}$$

Calculate 1 to the power of 4 and get 1.

$$11-1$$

Subtract 1 from 11 to get 10.

$$10$$

Factor

$$2\times 5$$