Solve 1.6*10^-18c(3.0*10^5m/s)(0.800)

$$1.6 \times 10 ^ { - 18 } c ( 3.0 \times 10 ^ { 5 } m / s ) ( 0.800 )$$

Evaluate

$$\frac{3cm}{7812500000000s}$$

Solution Steps

Calculate 10 to the power of -18 and get \frac{1}{1000000000000000000}.

$$1.6\times \frac{1}{1000000000000000000}c\times \frac{3\times 10^{5}m}{s}\times 0.8$$

Multiply 1.6 and \frac{1}{1000000000000000000} to get \frac{1}{625000000000000000}.

$$\frac{1}{625000000000000000}c\times \frac{3\times 10^{5}m}{s}\times 0.8$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{1}{625000000000000000}c\times \frac{3\times 100000m}{s}\times 0.8$$

Multiply 3 and 100000 to get 300000.

$$\frac{1}{625000000000000000}c\times \frac{300000m}{s}\times 0.8$$

Multiply \frac{1}{625000000000000000} and 0.8 to get \frac{1}{781250000000000000}.

$$\frac{1}{781250000000000000}c\times \frac{300000m}{s}$$

Multiply \frac{1}{781250000000000000} times \frac{300000m}{s} by multiplying numerator times numerator and denominator times denominator.

$$\frac{300000m}{781250000000000000s}c$$

Cancel out 100000 in both numerator and denominator.

$$\frac{3m}{7812500000000s}c$$

Express \frac{3m}{7812500000000s}c as a single fraction.

$$\frac{3mc}{7812500000000s}$$

Differentiate w.r.t. c

$$\frac{3m}{7812500000000s}$$