Solve 1/9.69*10^-4*(5000*10^-8)

$$\frac { 1 } { 9.69 \times 10 ^ { - 4 } \times ( 5000 \times 10 ^ { - 8 } ) }$$

Evaluate

$$\frac{20000000000}{969}\approx 20639834.881320949$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and -8 to get -12.

$$\frac{1}{9.69\times 10^{-12}\times 5000}$$

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$\frac{1}{9.69\times \frac{1}{1000000000000}\times 5000}$$

Multiply 9.69 and \frac{1}{1000000000000} to get \frac{969}{100000000000000}.

$$\frac{1}{\frac{969}{100000000000000}\times 5000}$$

Multiply \frac{969}{100000000000000} and 5000 to get \frac{969}{20000000000}.

$$\frac{1}{\frac{969}{20000000000}}$$

Divide 1 by \frac{969}{20000000000} by multiplying 1 by the reciprocal of \frac{969}{20000000000}.

$$1\times \frac{20000000000}{969}$$

Multiply 1 and \frac{20000000000}{969} to get \frac{20000000000}{969}.

$$\frac{20000000000}{969}$$

Factor

$$\frac{2 ^ {11} \cdot 5 ^ {10}}{3 \cdot 17 \cdot 19} = 20639834\frac{854}{969} = 20639834.88132095$$