Solve 1/2*100muA/V^2*5*(100mV)^2

$$\frac { 1 } { 2 } \times 100 \mu A / V ^ { 2 } \times 5 \times ( 100 m V ) ^ { 2 }$$

Evaluate

$$2500000A\mu m^{2}$$

Solution Steps

Multiply \frac{1}{2} and 100 to get 50.

$$\frac{50\mu A}{V^{2}}\times 5\times \left(100mV\right)^{2}$$

Expand \left(100mV\right)^{2}.

$$\frac{50\mu A}{V^{2}}\times 5\times 100^{2}m^{2}V^{2}$$

Calculate 100 to the power of 2 and get 10000.

$$\frac{50\mu A}{V^{2}}\times 5\times 10000m^{2}V^{2}$$

Multiply 5 and 10000 to get 50000.

$$\frac{50\mu A}{V^{2}}\times 50000m^{2}V^{2}$$

Express \frac{50\mu A}{V^{2}}\times 50000 as a single fraction.

$$\frac{50\mu A\times 50000}{V^{2}}m^{2}V^{2}$$

Express \frac{50\mu A\times 50000}{V^{2}}m^{2} as a single fraction.

$$\frac{50\mu A\times 50000m^{2}}{V^{2}}V^{2}$$

Cancel out V^{2} and V^{2}.

$$50\mu A\times 50000m^{2}$$

Multiply 50 and 50000 to get 2500000.

$$2500000\mu Am^{2}$$

Expand

$$2500000A\mu m^{2}$$

Solution Steps

Multiply \frac{1}{2} and 100 to get 50.

$$\frac{50\mu A}{V^{2}}\times 5\times \left(100mV\right)^{2}$$

Expand \left(100mV\right)^{2}.

$$\frac{50\mu A}{V^{2}}\times 5\times 100^{2}m^{2}V^{2}$$

Calculate 100 to the power of 2 and get 10000.

$$\frac{50\mu A}{V^{2}}\times 5\times 10000m^{2}V^{2}$$

Multiply 5 and 10000 to get 50000.

$$\frac{50\mu A}{V^{2}}\times 50000m^{2}V^{2}$$

Express \frac{50\mu A}{V^{2}}\times 50000 as a single fraction.

$$\frac{50\mu A\times 50000}{V^{2}}m^{2}V^{2}$$

Express \frac{50\mu A\times 50000}{V^{2}}m^{2} as a single fraction.

$$\frac{50\mu A\times 50000m^{2}}{V^{2}}V^{2}$$

Cancel out V^{2} and V^{2}.

$$50\mu A\times 50000m^{2}$$

Multiply 50 and 50000 to get 2500000.

$$2500000\mu Am^{2}$$