Solve 6.626*10^-34*0.3*10^8/1.93*10^-7=

$$\frac { 6.626 \times 10 ^ { - 34 } \times 0.3 \times 10 ^ { 8 } } { 1.93 \times 10 ^ { - 7 } } =$$

Evaluate

$$\frac{9939}{96500000000000000000000}\approx 1.029948187 \cdot 10^{-19}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -34 and 8 to get -26.

$$\frac{6.626\times 10^{-26}\times 0.3}{1.93\times 10^{-7}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{0.3\times 6.626}{1.93\times 10^{19}}$$

Multiply 0.3 and 6.626 to get 1.9878.

$$\frac{1.9878}{1.93\times 10^{19}}$$

Calculate 10 to the power of 19 and get 10000000000000000000.

$$\frac{1.9878}{1.93\times 10000000000000000000}$$

Multiply 1.93 and 10000000000000000000 to get 19300000000000000000.

$$\frac{1.9878}{19300000000000000000}$$

Expand \frac{1.9878}{19300000000000000000} by multiplying both numerator and the denominator by 10000.

$$\frac{19878}{193000000000000000000000}$$

Reduce the fraction \frac{19878}{193000000000000000000000} to lowest terms by extracting and canceling out 2.

$$\frac{9939}{96500000000000000000000}$$

Factor

$$\frac{3 \cdot 3313}{193 \cdot 2 ^ {20} \cdot 5 ^ {21}} = 1.0299481865284974 \times 10^{-19}$$