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Dimensional analysis a. How many millimeters are in \(1.31\) inch? b. The density of a soil sample was \(1.47 \mathrm{~g} / \mathrm{cm}^{3}\). This is equivalent to how many \(\mathrm{kg} / \mathrm{m}^{3} ?\) c. 1 "acre furrow slice" is a volume of soil approximately \(6.0\) inches deep occupying exactly 1 acre \(\left(43,560 \mathrm{ft}^{2}\right)\) of land surface. Estimate the volume in \(\mathrm{m}^{3}\).

Manipulation of exponents a. \(106 \times 102=\)___________ b. \(\left(10^{2}\right)^{1 / 3}=\)___________ c. \(\left(10^{-5} \times 10^{3}\right): 10^{2}=\)___________