Solve 6.6*10^-34*3*10^8/300*10^9

$$6.6 \times { 10 }^{ -34 } \times \frac{ 3 \times { 10 }^{ 8 } }{ 300 \times { 10 }^{ 9 } }$$

Evaluate

$$0.00000000000000000000000000000000000066$$

Solution Steps

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

$$6.6\times \frac{1}{10000000000000000000000000000000000}\times \frac{3\times 10^{8}}{300\times 10^{9}}$$

Multiply 6.6 and \frac{1}{10000000000000000000000000000000000} to get \frac{33}{50000000000000000000000000000000000}.

$$\frac{33}{50000000000000000000000000000000000}\times \frac{3\times 10^{8}}{300\times 10^{9}}$$

Cancel out 3\times 10^{8} in both numerator and denominator.

$$\frac{33}{50000000000000000000000000000000000}\times \frac{1}{10\times 100}$$

Multiply 10 and 100 to get 1000.

$$\frac{33}{50000000000000000000000000000000000}\times \frac{1}{1000}$$

Multiply \frac{33}{50000000000000000000000000000000000} and \frac{1}{1000} to get \frac{33}{50000000000000000000000000000000000000}.

$$\frac{33}{50000000000000000000000000000000000000}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {37} \cdot 5 ^ {38}} = 6.6 \times 10^{-37}$$