Solve 6.6*10^-34*3*40^8/10^-7

$$6.6 \times 10 ^ { - 34 } \times \frac { 3 \times 40 ^ { 8 } } { 10 ^ { - 7 } }$$

Evaluate

$$0.00000000000012976128$$

Solution Steps

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

$$6.6\times \frac{1}{10000000000000000000000000000000000}\times \frac{3\times 40^{8}}{10^{-7}}$$

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

$$\frac{33}{50000000000000000000000000000000000}\times \frac{3\times 40^{8}}{10^{-7}}$$

Calculate 40 to the power of 8 and get 6553600000000.

$$\frac{33}{50000000000000000000000000000000000}\times \frac{3\times 6553600000000}{10^{-7}}$$

Multiply 3 and 6553600000000 to get 19660800000000.

$$\frac{33}{50000000000000000000000000000000000}\times \frac{19660800000000}{10^{-7}}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{33}{50000000000000000000000000000000000}\times \frac{19660800000000}{\frac{1}{10000000}}$$

Divide 19660800000000 by \frac{1}{10000000} by multiplying 19660800000000 by the reciprocal of \frac{1}{10000000}.

$$\frac{33}{50000000000000000000000000000000000}\times 19660800000000\times 10000000$$

Multiply 19660800000000 and 10000000 to get 196608000000000000000.

$$\frac{33}{50000000000000000000000000000000000}\times 196608000000000000000$$

Multiply \frac{33}{50000000000000000000000000000000000} and 196608000000000000000 to get \frac{99}{762939453125000}.

$$\frac{99}{762939453125000}$$

Factor

$$\frac{11 \cdot 3 ^ {2}}{2 ^ {3} \cdot 5 ^ {20}} = 1.2976127999999998 \times 10^{-13}$$