Solve 6.626*10^-34*10^-13/3*10^8m/s

$$\frac { 6.626 \times 10 ^ { - 34 } \times 10 ^ { - 13 } } { 3 \times 10 ^ { 8 } m / s }$$

Evaluate

$$\frac{3313s}{15000000000000000000000000000000000000000000000000000000000m}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -34 and -13 to get -47.

$$\frac{6.626\times 10^{-47}}{\frac{3\times 10^{8}m}{s}}$$

Calculate 10 to the power of -47 and get \frac{1}{100000000000000000000000000000000000000000000000}.

$$\frac{6.626\times \frac{1}{100000000000000000000000000000000000000000000000}}{\frac{3\times 10^{8}m}{s}}$$

Multiply 6.626 and \frac{1}{100000000000000000000000000000000000000000000000} to get \frac{3313}{50000000000000000000000000000000000000000000000000}.

$$\frac{\frac{3313}{50000000000000000000000000000000000000000000000000}}{\frac{3\times 10^{8}m}{s}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\frac{3313}{50000000000000000000000000000000000000000000000000}}{\frac{3\times 100000000m}{s}}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{\frac{3313}{50000000000000000000000000000000000000000000000000}}{\frac{300000000m}{s}}$$

Divide \frac{3313}{50000000000000000000000000000000000000000000000000} by \frac{300000000m}{s} by multiplying \frac{3313}{50000000000000000000000000000000000000000000000000} by the reciprocal of \frac{300000000m}{s}.

$$\frac{3313s}{50000000000000000000000000000000000000000000000000\times 300000000m}$$

Multiply 50000000000000000000000000000000000000000000000000 and 300000000 to get 15000000000000000000000000000000000000000000000000000000000.

$$\frac{3313s}{15000000000000000000000000000000000000000000000000000000000m}$$

Differentiate w.r.t. m

$$-\frac{3313s}{15000000000000000000000000000000000000000000000000000000000m^{2}}$$