Answer:
1.3824×10¹⁰
Step-by-step explanation:
You want the number of cubic feet of water flowing in a 24-hour period at the rate of 160,000 ft³/s.
The volume is found by multiplying the flow rate by the time period.
[tex]\dfrac{160000\text{ ft}^3}{s}\times\dfrac{86400\text{ s}}{\text{day}}=(1.6\times10^5)(0.864\times10^5)\dfrac{\text{ft}^3}{\text{day}}\\\\=\boxed{1.3824\times10^{10}\text{ ft$^3$/day}}[/tex]
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Additional comment
It is helpful to consider the power-of-ten multiplier of the most significant digit of a number when you want to write it in scientific notation. This comes directly from the idea of place value.
In scientific notation, there is one digit left of the decimal point, and the remaining significant digits of the number are to the right of the decimal point.