Solve 49^0-{0.36}^frac{1{2}}+frac{{16}^frac{1{2}}}{4}-{0.216}^frac{1{3}}

$${ 49 }^{ 0 } - { 0.36 }^{ \frac{ 1 }{ 2 } } + \frac{ { 16 }^{ \frac{ 1 }{ 2 } } }{ 4 } - { 0.216 }^{ \frac{ 1 }{ 3 } }$$

Evaluate

$$0.8$$

Solution Steps

Calculate 49 to the power of 0 and get 1.

$$1-0.36^{\frac{1}{2}}+\frac{16^{\frac{1}{2}}}{4}-0.216^{\frac{1}{3}}$$

Calculate 0.36 to the power of \frac{1}{2} and get \frac{3}{5}.

$$1-\frac{3}{5}+\frac{16^{\frac{1}{2}}}{4}-0.216^{\frac{1}{3}}$$

Subtract \frac{3}{5} from 1 to get \frac{2}{5}.

$$\frac{2}{5}+\frac{16^{\frac{1}{2}}}{4}-0.216^{\frac{1}{3}}$$

Calculate 16 to the power of \frac{1}{2} and get 4.

$$\frac{2}{5}+\frac{4}{4}-0.216^{\frac{1}{3}}$$

Divide 4 by 4 to get 1.

$$\frac{2}{5}+1-0.216^{\frac{1}{3}}$$

Add \frac{2}{5} and 1 to get \frac{7}{5}.

$$\frac{7}{5}-0.216^{\frac{1}{3}}$$

Calculate 0.216 to the power of \frac{1}{3} and get \frac{3}{5}.

$$\frac{7}{5}-\frac{3}{5}$$

Subtract \frac{3}{5} from \frac{7}{5} to get \frac{4}{5}.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$