Solve (5.3*10^-43)*(13*10^8)

$$( 5.3 \times 10 ^ { - 43 } ) \times ( 13 \times 10 ^ { 8 } )$$

Evaluate

$$0.000000000000000000000000000000000689$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -43 and 8 to get -35.

$$5.3\times 10^{-35}\times 13$$

Calculate 10 to the power of -35 and get \frac{1}{100000000000000000000000000000000000}.

$$5.3\times \frac{1}{100000000000000000000000000000000000}\times 13$$

Multiply 5.3 and \frac{1}{100000000000000000000000000000000000} to get \frac{53}{1000000000000000000000000000000000000}.

$$\frac{53}{1000000000000000000000000000000000000}\times 13$$

Multiply \frac{53}{1000000000000000000000000000000000000} and 13 to get \frac{689}{1000000000000000000000000000000000000}.

$$\frac{689}{1000000000000000000000000000000000000}$$

Factor

$$\frac{13 \cdot 53}{2 ^ {36} \cdot 5 ^ {36}} = 6.890000000000001 \times 10^{-34}$$