Question

Human blood contains red blood cells, white blood cells, and platelets. The table shows the sizes of
these components. Simplify each expression
Blood Components
Part
Size (m)
Red blood cell
White blood cell
125,000-1
3(500)-2
3(1,000)-2
Platelet
Red blood cell:
m
White blood cell:
m
Platelet
m

Answer 1

Answer/Step-by-step explanation:

To simplify the given expressions that involves negative exponent, recall the law of exponents that deals with simplifying negative exponent.

Thus: $a^{-x} = \frac{1}{a^x}$

Ally this rule in solving the given problem as follows:

Red blood cell = $125,000^{-1} = \frac{1}{125,000^1} = \frac{1}{125,000} = 0.000008 = 8*10^{-6}$

White blood cells = $3(500)^{-2} = 3(\frac{1}{500^2}) = 3(\frac{1}{250,000}) = 3*0.000004 = 0.000012 = 1.2*10^{-5}$

Platelet = $3(1000)^{-2} = 3(\frac{1}{1,000^2}) = 3(\frac{1}{1,000,000}) = 3*0.000001 = 0.000003 = 3*10^{-6}$