Solve 50/3*10^-2*10^-4

$$\frac { 50 } { 3 \times 10 ^ { - 2 } \times 10 ^ { - 4 } }$$

Evaluate

$$\frac{50000000}{3}\approx 16666666.666666667$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and -4 to get -6.

$$\frac{50}{3\times 10^{-6}}$$

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

$$\frac{50}{3\times \frac{1}{1000000}}$$

Multiply 3 and \frac{1}{1000000} to get \frac{3}{1000000}.

$$\frac{50}{\frac{3}{1000000}}$$

Divide 50 by \frac{3}{1000000} by multiplying 50 by the reciprocal of \frac{3}{1000000}.

$$50\times \frac{1000000}{3}$$

Multiply 50 and \frac{1000000}{3} to get \frac{50000000}{3}.

$$\frac{50000000}{3}$$

Factor

$$\frac{2 ^ {7} \cdot 5 ^ {8}}{3} = 16666666\frac{2}{3} = 16666666.666666666$$