Solve frac{(8.988*10^{9}Nm^2/C^2)(16*10^-6C)}{(6m)^2}

$$\frac { ( 8.988 \times 10 ^ { 9 } Nm ^ { 2 } / C ^ { 2 } ) ( 16 \times 10 ^ { - 6 } C ) } { ( 6 m ) ^ { 2 } }$$

Evaluate

$$\frac{11984N}{3C}$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{\frac{8.988\times 1000000000Nm^{2}}{C^{2}}\times 16\times 10^{-6}C}{\left(6m\right)^{2}}$$

Multiply 8.988 and 1000000000 to get 8988000000.

$$\frac{\frac{8988000000Nm^{2}}{C^{2}}\times 16\times 10^{-6}C}{\left(6m\right)^{2}}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\frac{8988000000Nm^{2}}{C^{2}}\times 16\times \frac{1}{1000000}C}{\left(6m\right)^{2}}$$

Multiply 16 and \frac{1}{1000000} to get \frac{1}{62500}.

$$\frac{\frac{8988000000Nm^{2}}{C^{2}}\times \frac{1}{62500}C}{\left(6m\right)^{2}}$$

Multiply \frac{8988000000Nm^{2}}{C^{2}} times \frac{1}{62500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{8988000000Nm^{2}}{C^{2}\times 62500}C}{\left(6m\right)^{2}}$$

Cancel out 62500 in both numerator and denominator.

$$\frac{\frac{143808Nm^{2}}{C^{2}}C}{\left(6m\right)^{2}}$$

Express \frac{143808Nm^{2}}{C^{2}}C as a single fraction.

$$\frac{\frac{143808Nm^{2}C}{C^{2}}}{\left(6m\right)^{2}}$$

Cancel out C in both numerator and denominator.

$$\frac{\frac{143808Nm^{2}}{C}}{\left(6m\right)^{2}}$$

Expand \left(6m\right)^{2}.

$$\frac{\frac{143808Nm^{2}}{C}}{6^{2}m^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{\frac{143808Nm^{2}}{C}}{36m^{2}}$$

Express \frac{\frac{143808Nm^{2}}{C}}{36m^{2}} as a single fraction.

$$\frac{143808Nm^{2}}{C\times 36m^{2}}$$

Cancel out 12m^{2} in both numerator and denominator.

$$\frac{11984N}{3C}$$

Expand

$$\frac{11984N}{3C}$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{\frac{8.988\times 1000000000Nm^{2}}{C^{2}}\times 16\times 10^{-6}C}{\left(6m\right)^{2}}$$

Multiply 8.988 and 1000000000 to get 8988000000.

$$\frac{\frac{8988000000Nm^{2}}{C^{2}}\times 16\times 10^{-6}C}{\left(6m\right)^{2}}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\frac{8988000000Nm^{2}}{C^{2}}\times 16\times \frac{1}{1000000}C}{\left(6m\right)^{2}}$$

Multiply 16 and \frac{1}{1000000} to get \frac{1}{62500}.

$$\frac{\frac{8988000000Nm^{2}}{C^{2}}\times \frac{1}{62500}C}{\left(6m\right)^{2}}$$

Multiply \frac{8988000000Nm^{2}}{C^{2}} times \frac{1}{62500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{8988000000Nm^{2}}{C^{2}\times 62500}C}{\left(6m\right)^{2}}$$

Cancel out 62500 in both numerator and denominator.

$$\frac{\frac{143808Nm^{2}}{C^{2}}C}{\left(6m\right)^{2}}$$

Express \frac{143808Nm^{2}}{C^{2}}C as a single fraction.

$$\frac{\frac{143808Nm^{2}C}{C^{2}}}{\left(6m\right)^{2}}$$

Cancel out C in both numerator and denominator.

$$\frac{\frac{143808Nm^{2}}{C}}{\left(6m\right)^{2}}$$

Expand \left(6m\right)^{2}.

$$\frac{\frac{143808Nm^{2}}{C}}{6^{2}m^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{\frac{143808Nm^{2}}{C}}{36m^{2}}$$

Express \frac{\frac{143808Nm^{2}}{C}}{36m^{2}} as a single fraction.

$$\frac{143808Nm^{2}}{C\times 36m^{2}}$$

Cancel out 12m^{2} in both numerator and denominator.

$$\frac{11984N}{3C}$$