Solve =6.672*10^-11(5*10^-3)(0.5)/16*10^-4

$$= \frac { 6.672 \times 10 ^ { - 11 } ( 5 \times 10 ^ { - 3 } ) ( 0.5 ) } { 16 \times 10 ^ { - 4 } }$$

Evaluate

$$0.00000000010425$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -11 and -3 to get -14.

$$\frac{6.672\times 10^{-14}\times 5\times 0.5}{16\times 10^{-4}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{0.5\times 5\times 6.672}{16\times 10^{10}}$$

Multiply 0.5 and 5 to get 2.5.

$$\frac{2.5\times 6.672}{16\times 10^{10}}$$

Multiply 2.5 and 6.672 to get 16.68.

$$\frac{16.68}{16\times 10^{10}}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{16.68}{16\times 10000000000}$$

Multiply 16 and 10000000000 to get 160000000000.

$$\frac{16.68}{160000000000}$$

Expand \frac{16.68}{160000000000} by multiplying both numerator and the denominator by 100.

$$\frac{1668}{16000000000000}$$

Reduce the fraction \frac{1668}{16000000000000} to lowest terms by extracting and canceling out 4.

$$\frac{417}{4000000000000}$$

Factor

$$\frac{3 \cdot 139}{2 ^ {14} \cdot 5 ^ {12}} = 1.0425 \times 10^{-10}$$