Solve 1.6*10^4(2pi*10^-9/36pi*2)

$$1.6 \times 10 ^ { 4 } ( 2 \pi \times \frac { 10 ^ { - 9 } } { 36 \pi } \times 2 )$$

Evaluate

$$\frac{1}{562500}\approx 0.000001778$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$1.6\times 10000\times 2\pi \times \frac{10^{-9}}{36\pi }\times 2$$

Multiply 1.6 and 10000 to get 16000.

$$16000\times 2\pi \times \frac{10^{-9}}{36\pi }\times 2$$

Multiply 16000 and 2 to get 32000.

$$32000\pi \times \frac{10^{-9}}{36\pi }\times 2$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$32000\pi \times \frac{\frac{1}{1000000000}}{36\pi }\times 2$$

Express \frac{\frac{1}{1000000000}}{36\pi } as a single fraction.

$$32000\pi \times \frac{1}{1000000000\times 36\pi }\times 2$$

Multiply 1000000000 and 36 to get 36000000000.

$$32000\pi \times \frac{1}{36000000000\pi }\times 2$$

Multiply 32000 and 2 to get 64000.

$$64000\pi \times \frac{1}{36000000000\pi }$$

Express 64000\times \frac{1}{36000000000\pi } as a single fraction.

$$\frac{64000}{36000000000\pi }\pi$$

Express \frac{64000}{36000000000\pi }\pi as a single fraction.

$$\frac{64000\pi }{36000000000\pi }$$

Cancel out 64000\pi in both numerator and denominator.

$$\frac{1}{562500}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {6}} = 1.777777777777778 \times 10^{-6}$$