Solve 4*{left(frac{1^/2right)}^2}{2}+16*{left(frac{1^/4right)}^2}{2}

$$\frac{ 4 \times { \left( \frac{ { 1 }^{ } }{ 2 } \right) }^{ 2 } }{ 2 } + \frac{ 16 \times { \left( \frac{ { 1 }^{ } }{ 4 } \right) }^{ 2 } }{ 2 }$$

Evaluate

$$1$$

Solution Steps

Calculate 1 to the power of 1 and get 1.

$$\frac{4\times \left(\frac{1}{2}\right)^{2}}{2}+\frac{16\times \left(\frac{1^{1}}{4}\right)^{2}}{2}$$

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

$$\frac{4\times \frac{1}{4}}{2}+\frac{16\times \left(\frac{1^{1}}{4}\right)^{2}}{2}$$

Multiply 4 and \frac{1}{4} to get 1.

$$\frac{1}{2}+\frac{16\times \left(\frac{1^{1}}{4}\right)^{2}}{2}$$

Calculate 1 to the power of 1 and get 1.

$$\frac{1}{2}+\frac{16\times \left(\frac{1}{4}\right)^{2}}{2}$$

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

$$\frac{1}{2}+\frac{16\times \frac{1}{16}}{2}$$

Multiply 16 and \frac{1}{16} to get 1.

$$\frac{1}{2}+\frac{1}{2}$$

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

$$1$$

Factor

$$1$$