Solve 3684,61*10^-6/(16*10^3)^2=

$$\frac { 3684,61 \cdot 10 ^ { - 6 } } { ( 16 \cdot 10 ^ { 3 } ) ^ { 2 } } =$$

Evaluate

$$0,0000000000143930078125$$

Solution Steps

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

$$\frac{3684,61\times \frac{1}{1000000}}{\left(16\times 10^{3}\right)^{2}}$$

Multiply 3684,61 and \frac{1}{1000000} to get \frac{368461}{100000000}.

$$\frac{\frac{368461}{100000000}}{\left(16\times 10^{3}\right)^{2}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{\frac{368461}{100000000}}{\left(16\times 1000\right)^{2}}$$

Multiply 16 and 1000 to get 16000.

$$\frac{\frac{368461}{100000000}}{16000^{2}}$$

Calculate 16000 to the power of 2 and get 256000000.

$$\frac{\frac{368461}{100000000}}{256000000}$$

Express \frac{\frac{368461}{100000000}}{256000000} as a single fraction.

$$\frac{368461}{100000000\times 256000000}$$

Multiply 100000000 and 256000000 to get 25600000000000000.

$$\frac{368461}{25600000000000000}$$

Factor

$$\frac{229 \cdot 1609}{2 ^ {22} \cdot 5 ^ {14}} = 1.43930078125 \times 10^{-11}$$