Solve 6.672*10^-4*9.10^9*10^-31*1.672*10/1

$$6.672 \times 10 ^ { - 4 } \times \frac { 9.10 ^ { 9 } \times 10 ^ { - 31 } \times 1.672 \times 10 } { 1 }$$

Evaluate

$$0.0000000000000000000000004773806831451065521137024$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -31 and 1 to get -30.

$$6.672\times 10^{-4}\times \frac{9.1^{9}\times 10^{-30}\times 1.672}{1}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$6.672\times \frac{1}{10000}\times \frac{9.1^{9}\times 10^{-30}\times 1.672}{1}$$

Multiply 6.672 and \frac{1}{10000} to get \frac{417}{625000}.

$$\frac{417}{625000}\times \frac{9.1^{9}\times 10^{-30}\times 1.672}{1}$$

Calculate 9.1 to the power of 9 and get 427929800.129788411.

$$\frac{417}{625000}\times \frac{427929800.129788411\times 10^{-30}\times 1.672}{1}$$

Calculate 10 to the power of -30 and get \frac{1}{1000000000000000000000000000000}.

$$\frac{417}{625000}\times \frac{427929800.129788411\times \frac{1}{1000000000000000000000000000000}\times 1.672}{1}$$

Multiply 427929800.129788411 and \frac{1}{1000000000000000000000000000000} to get \frac{427929800129788411}{1000000000000000000000000000000000000000}.

$$\frac{417}{625000}\times \frac{\frac{427929800129788411}{1000000000000000000000000000000000000000}\times 1.672}{1}$$

Multiply \frac{427929800129788411}{1000000000000000000000000000000000000000} and 1.672 to get \frac{89437328227125777899}{125000000000000000000000000000000000000000}.

$$\frac{417}{625000}\times \frac{\frac{89437328227125777899}{125000000000000000000000000000000000000000}}{1}$$

Anything divided by one gives itself.

$$\frac{417}{625000}\times \frac{89437328227125777899}{125000000000000000000000000000000000000000}$$

Multiply \frac{417}{625000} and \frac{89437328227125777899}{125000000000000000000000000000000000000000} to get \frac{37295365870711449383883}{78125000000000000000000000000000000000000000000}.

$$\frac{37295365870711449383883}{78125000000000000000000000000000000000000000000}$$

Factor

$$\frac{3 \cdot 11 \cdot 19 \cdot 139 \cdot 7 ^ {9} \cdot 13 ^ {9}}{2 ^ {42} \cdot 5 ^ {49}} = 4.773806831451065 \times 10^{-25}$$