An ecologist monitoring an estuary collected water samples to measure the concentration of a specific diatom species during a spring bloom. At a depth of 5 metres, the concentration of diatoms, CCC (in cells per cm3\text{cm}^3cm3), was determined to satisfy the relationship log10(C)=5.38\log_{10}(C) = 5.38log10(C)=5.38.
Calculate the total number of diatom cells present in a 120 cm3120\text{ cm}^3120 cm3 water sample taken from this depth.
Provide your answer in standard form to two significant figures.
