Solve 6.63*10^-34*3*10^8/6*10^-7

$$6.63 \times 10 ^ { - 34 } \times \frac { 3 \times 10 ^ { 8 } } { 6 \times 10 ^ { - 7 } }$$

Evaluate

$$0.0000000000000000003315$$

Solution Steps

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

$$6.63\times \frac{1}{10000000000000000000000000000000000}\times \frac{3\times 10^{8}}{6\times 10^{-7}}$$

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

$$\frac{663}{1000000000000000000000000000000000000}\times \frac{3\times 10^{8}}{6\times 10^{-7}}$$

Cancel out 3 in both numerator and denominator.

$$\frac{663}{1000000000000000000000000000000000000}\times \frac{10^{8}}{2\times 10^{-7}}$$

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

$$\frac{663}{1000000000000000000000000000000000000}\times \frac{10^{15}}{2}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{663}{1000000000000000000000000000000000000}\times \frac{1000000000000000}{2}$$

Divide 1000000000000000 by 2 to get 500000000000000.

$$\frac{663}{1000000000000000000000000000000000000}\times 500000000000000$$

Multiply \frac{663}{1000000000000000000000000000000000000} and 500000000000000 to get \frac{663}{2000000000000000000000}.

$$\frac{663}{2000000000000000000000}$$

Factor

$$\frac{3 \cdot 13 \cdot 17}{2 ^ {22} \cdot 5 ^ {21}} = 3.315 \times 10^{-19}$$