Solve 6.63*10^-34*3*10^8/300*10^-9

$$6.63 \times { 10 }^{ -34 } \times 3 \times \frac{ { 10 }^{ 8 } }{ 300 \times { 10 }^{ -9 } }$$

Evaluate

$$0.000000000000000000663$$

Solution Steps

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

$$6.63\times \frac{1}{10000000000000000000000000000000000}\times 3\times \frac{10^{8}}{300\times 10^{-9}}$$

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

$$\frac{663}{1000000000000000000000000000000000000}\times 3\times \frac{10^{8}}{300\times 10^{-9}}$$

Multiply \frac{663}{1000000000000000000000000000000000000} and 3 to get \frac{1989}{1000000000000000000000000000000000000}.

$$\frac{1989}{1000000000000000000000000000000000000}\times \frac{10^{8}}{300\times 10^{-9}}$$

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

$$\frac{1989}{1000000000000000000000000000000000000}\times \frac{10^{17}}{300}$$

Calculate 10 to the power of 17 and get 100000000000000000.

$$\frac{1989}{1000000000000000000000000000000000000}\times \frac{100000000000000000}{300}$$

Reduce the fraction \frac{100000000000000000}{300} to lowest terms by extracting and canceling out 100.

$$\frac{1989}{1000000000000000000000000000000000000}\times \frac{1000000000000000}{3}$$

Multiply \frac{1989}{1000000000000000000000000000000000000} and \frac{1000000000000000}{3} to get \frac{663}{1000000000000000000000}.

$$\frac{663}{1000000000000000000000}$$

Factor

$$\frac{3 \cdot 13 \cdot 17}{2 ^ {21} \cdot 5 ^ {21}} = 6.63 \times 10^{-19}$$