To find out how many gallons of seawater are pumped into the exhibits in a full day, we start by calculating the number of hours in a day:
\[ 24 \text{ hours/day} \]
Next, we multiply the pumping rate by the total hours in a day:
\[ 1.2 \times 10^5 \text{ gallons/hour} \times 24 \text{ hours} \]
Calculating the multiplication:
\[ 1.2 \times 24 = 28.8 \]
Now, we combine this with the scientific notation:
\[ 28.8 \times 10^5 \]
To express this value in standard scientific notation, we adjust \(28.8\) so that there's only one non-zero digit to the left of the decimal by moving the decimal point one place to the left:
\[ 28.8 = 2.88 \times 10^1 \]
Now we combine this with the \(10^5\):
\[ 2.88 \times 10^1 \times 10^5 = 2.88 \times 10^{1+5} = 2.88 \times 10^6 \]
Thus, the number of gallons of seawater pumped into the exhibits in a full day, written in scientific notation, is:
\[ \boxed{2.88 \times 10^6} \]
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