Solve 6.63*10^-34Js*3*108m/5/6,5*10^-7m

$$6.63 \cdot 10 ^ { - 34 } Js \cdot \frac { 3 \cdot 108 \frac { m } { 5 } } { 6,5 \cdot 10 ^ { - 7 } m }$$

Evaluate

$$\frac{4131Js}{62500000000000000000000000000}$$

Solution Steps

Calculate 10 to the power of -34 and get \frac{1}{10000000000000000000000000000000000}.

$$6.63\times \frac{1}{10000000000000000000000000000000000}Js\times \frac{3\times 108\times \frac{m}{5}}{6.5\times 10^{-7}m}$$

Multiply 6.63 and \frac{1}{10000000000000000000000000000000000} to get \frac{663}{1000000000000000000000000000000000000}.

$$\frac{663}{1000000000000000000000000000000000000}Js\times \frac{3\times 108\times \frac{m}{5}}{6.5\times 10^{-7}m}$$

Multiply 3 and 108 to get 324.

$$\frac{663}{1000000000000000000000000000000000000}Js\times \frac{324\times \frac{m}{5}}{6.5\times 10^{-7}m}$$

Express 324\times \frac{m}{5} as a single fraction.

$$\frac{663}{1000000000000000000000000000000000000}Js\times \frac{\frac{324m}{5}}{6.5\times 10^{-7}m}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{663}{1000000000000000000000000000000000000}Js\times \frac{\frac{324m}{5}}{6.5\times \frac{1}{10000000}m}$$

Multiply 6.5 and \frac{1}{10000000} to get \frac{13}{20000000}.

$$\frac{663}{1000000000000000000000000000000000000}Js\times \frac{\frac{324m}{5}}{\frac{13}{20000000}m}$$

Express \frac{\frac{324m}{5}}{\frac{13}{20000000}m} as a single fraction.

$$\frac{663}{1000000000000000000000000000000000000}Js\times \frac{324m}{5\times \frac{13}{20000000}m}$$

Cancel out m in both numerator and denominator.

$$\frac{663}{1000000000000000000000000000000000000}Js\times \frac{324}{\frac{13}{20000000}\times 5}$$

Multiply \frac{13}{20000000} and 5 to get \frac{13}{4000000}.

$$\frac{663}{1000000000000000000000000000000000000}Js\times \frac{324}{\frac{13}{4000000}}$$

Divide 324 by \frac{13}{4000000} by multiplying 324 by the reciprocal of \frac{13}{4000000}.

$$\frac{663}{1000000000000000000000000000000000000}Js\times 324\times \frac{4000000}{13}$$

Multiply 324 and \frac{4000000}{13} to get \frac{1296000000}{13}.

$$\frac{663}{1000000000000000000000000000000000000}Js\times \frac{1296000000}{13}$$

Multiply \frac{663}{1000000000000000000000000000000000000} and \frac{1296000000}{13} to get \frac{4131}{62500000000000000000000000000}.

$$\frac{4131}{62500000000000000000000000000}Js$$

Differentiate w.r.t. J

$$\frac{4131s}{62500000000000000000000000000}$$