A field of 3.9 mi to the power of 2 is being subdivided into 1.3x10 to the power of 3 family gardens. How many square miles will there be in each garden? Write the answer in scientific notation.
To find the area of each garden, we need to divide the total area of the field by the number of gardens.
The total area of the field is given as 3.9 mi^2.
The number of gardens is given as 1.3x10^3 gardens.
To divide the area of the field by the number of gardens, we can simply divide the numbers in the scientific notation:
3.9 mi^2 / 1.3x10^3 gardens
To simplify the calculation, we can divide the numbers outside the scientific notation, and subtract the exponents of 10:
(3.9 / 1.3) mi^2 / 10^(3-0)
Simplifying further, we have:
3.9 / 1.3 mi^2 / 10^3
Now we can divide 3.9 by 1.3:
3.9 / 1.3 = 3
Therefore, each garden will have an area of 3 mi^2.
Writing the answer in scientific notation, we have:
3 mi^2 = 3x10^0 mi^2
So, each garden will have an area of 3x10^0 square miles.