(5.62times 10^-3m)(2.106times 10^5m)=

To solve this multiplication problem, we can use the properties of exponents and multiplication.<br /><br />Given:<br />$(5.62\times 10^{-3}m)(2.106\times 10^{5}m)$<br /><br />Step 1: Multiply the coefficients.<br />$5.62 \times 2.106 = 11.87792$<br /><br />Step 2: Add the exponents.<br />$10^{-3} \times 10^{5} = 10^{2}$<br /><br />Step 3: Combine the results.<br />$11.87792 \times 10^{2}m$<br /><br />Therefore, the final answer is:<br />$1187.792m$