Solve 6.6*10^-34*3*10^8/4950*10^-10

$$\frac{ 6.6 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 4950 \times { 10 }^{ -10 } }$$

Evaluate

$$0.0000000000000000004$$

Solution Steps

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

$$\frac{6.6\times 10^{-26}\times 3}{4950\times 10^{-10}}$$

Cancel out 3 in both numerator and denominator.

$$\frac{6.6\times 10^{-26}}{1650\times 10^{-10}}$$

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

$$\frac{6.6}{1650\times 10^{16}}$$

Calculate 10 to the power of 16 and get 10000000000000000.

$$\frac{6.6}{1650\times 10000000000000000}$$

Multiply 1650 and 10000000000000000 to get 16500000000000000000.

$$\frac{6.6}{16500000000000000000}$$

Expand \frac{6.6}{16500000000000000000} by multiplying both numerator and the denominator by 10.

$$\frac{66}{165000000000000000000}$$

Reduce the fraction \frac{66}{165000000000000000000} to lowest terms by extracting and canceling out 66.

$$\frac{1}{2500000000000000000}$$

Factor

$$\frac{1}{2 ^ {17} \cdot 5 ^ {19}} = 4 \times 10^{-19}$$