Solve 6.625*10^-34*3*10^8/4.5*1.6*10^-19

$$\frac{ 6.625 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 4.5 \times 1.6 \times { 10 }^{ -19 } }$$

Evaluate

$$\frac{53}{192000000}\approx 0.000000276$$

Solution Steps

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

$$\frac{6.625\times 10^{-26}\times 3}{4.5\times 1.6\times 10^{-19}}$$

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

$$\frac{3\times 6.625}{1.6\times 4.5\times 10^{7}}$$

Multiply 3 and 6.625 to get 19.875.

$$\frac{19.875}{1.6\times 4.5\times 10^{7}}$$

Multiply 1.6 and 4.5 to get 7.2.

$$\frac{19.875}{7.2\times 10^{7}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{19.875}{7.2\times 10000000}$$

Multiply 7.2 and 10000000 to get 72000000.

$$\frac{19.875}{72000000}$$

Expand \frac{19.875}{72000000} by multiplying both numerator and the denominator by 1000.

$$\frac{19875}{72000000000}$$

Reduce the fraction \frac{19875}{72000000000} to lowest terms by extracting and canceling out 375.

$$\frac{53}{192000000}$$

Factor

$$\frac{53}{3 \cdot 2 ^ {12} \cdot 5 ^ {6}} = 2.760416666666667 \times 10^{-7}$$