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

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

Evaluate

$$0.00000004845$$

Solution Steps

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

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

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

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

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

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

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

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

Factor

$$\frac{3 \cdot 17 \cdot 19}{2 ^ {11} \cdot 5 ^ {10}} = 4.845 \times 10^{-8}$$