Solve (1.09*10^-2)(6.9*10^-1)

$$( 1.09 \times 10 ^ { - 2 } ) ( 6.9 \times 10 ^ { - 1 } )$$

Evaluate

$$0.007521$$

Solution Steps

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

$$1.09\times 10^{-3}\times 6.9$$

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

$$1.09\times \frac{1}{1000}\times 6.9$$

Multiply 1.09 and \frac{1}{1000} to get \frac{109}{100000}.

$$\frac{109}{100000}\times 6.9$$

Multiply \frac{109}{100000} and 6.9 to get \frac{7521}{1000000}.

$$\frac{7521}{1000000}$$

Factor

$$\frac{3 \cdot 23 \cdot 109}{2 ^ {6} \cdot 5 ^ {6}} = 0.007521$$