Solve 50/1.6*10^-19*2.5*10^4=

$$\frac { 50 } { 1.6 \times 10 ^ { - 19 } \times 2.5 \times 10 ^ { 4 } } =$$

Evaluate

$$12500000000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -19 and 4 to get -15.

$$\frac{50}{1.6\times 10^{-15}\times 2.5}$$

Calculate 10 to the power of -15 and get \frac{1}{1000000000000000}.

$$\frac{50}{1.6\times \frac{1}{1000000000000000}\times 2.5}$$

Multiply 1.6 and \frac{1}{1000000000000000} to get \frac{1}{625000000000000}.

$$\frac{50}{\frac{1}{625000000000000}\times 2.5}$$

Multiply \frac{1}{625000000000000} and 2.5 to get \frac{1}{250000000000000}.

$$\frac{50}{\frac{1}{250000000000000}}$$

Divide 50 by \frac{1}{250000000000000} by multiplying 50 by the reciprocal of \frac{1}{250000000000000}.

$$50\times 250000000000000$$

Multiply 50 and 250000000000000 to get 12500000000000000.

$$12500000000000000$$

Factor

$$2^{14}\times 5^{17}$$