Solve (109*10^-2)(69*10^-1)

$$( 109 \times 10 ^ { - 2 } ) ( 69 \times 10 ^ { - 1 } )$$

Evaluate

$$\frac{7521}{1000}=7.521$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and -1 to get -3.

$$109\times 10^{-3}\times 69$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$109\times \frac{1}{1000}\times 69$$

Multiply 109 and \frac{1}{1000} to get \frac{109}{1000}.

$$\frac{109}{1000}\times 69$$

Multiply \frac{109}{1000} and 69 to get \frac{7521}{1000}.

$$\frac{7521}{1000}$$

Factor

$$\frac{3 \cdot 23 \cdot 109}{2 ^ {3} \cdot 5 ^ {3}} = 7\frac{521}{1000} = 7.521$$