a lab technician draws a sample of blood. A cubic millitmeter of the blood contains 22^3 white blood cells and 22^5 red blood cells. What is the ratio of white blood cells to red blood cells?
22^3/22^5 = 22^-2 = 1/48.4
1/484
To find the ratio of white blood cells to red blood cells, we need to compare the number of white blood cells to the number of red blood cells.
Given that a cubic millimeter of blood contains (22^3) white blood cells and (22^5) red blood cells, we can calculate the ratio as follows:
Ratio = Number of white blood cells / Number of red blood cells
Ratio = (22^3) / (22^5)
Since any number raised to the power of 0 equals 1, we can simplify the expression:
Ratio = (22^3) / (22^5)
= 1 / (22^2)
= 1 / (484)
= 1/484
Therefore, the ratio of white blood cells to red blood cells is 1:484.
To find the ratio of white blood cells to red blood cells, we need to determine the respective quantities of each and then divide one by the other.
Given that a cubic millimeter of blood contains (22^3) white blood cells and (22^5) red blood cells, we can calculate these quantities.
Firstly, let's calculate the number of white blood cells in a cubic millimeter of blood:
Number of white blood cells = (22^3)
Next, let's calculate the number of red blood cells in a cubic millimeter of blood:
Number of red blood cells = (22^5)
Now we can find the ratio of white blood cells to red blood cells by dividing the number of white blood cells by the number of red blood cells:
Ratio of white blood cells to red blood cells = (Number of white blood cells) / (Number of red blood cells)
Plugging in the values we've calculated:
Ratio = (22^3) / (22^5)
To simplify this ratio, we can subtract the exponents of 22:
Ratio = 22^(3-5)
Since the exponent of 22 is negative, it can be flipped to be in the denominator:
Ratio = 1 / 22^(5-3)
Simplifying the exponents:
Ratio = 1 / 22^2
Calculating the ratio:
Ratio ≈ 0.00206612
Therefore, the ratio of white blood cells to red blood cells is approximately 0.00206612.