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Alegbra 1 (mutilpying powers with the same base)

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The Rule said :   an x  am = an +m         

where a -  the base .     m, n -  exponents  or powers.

step 1 Lets to  find how many white blood cells contain 1lb of body. 

If  one lb contain 2.7 x 104 ml  and  every ml  contain 7 x 104 white blood cells, then

1lb contain  (2.7 x 7)  x 104+4   or  18.9 x 108  white blood cells.

 step 2 If  1lb contain 18.9 x 108  white blood cells,  then multiplication by number of pounds ( weight)   will give the total number of white blood cells. 

 Find for W =  140 lb  :   140  x  18.9 x 108 =  2646 x 108  = 2. 646 x 1011   ( make smaller number by increases the  power)    

Looks like a 2-stage simple multiplication.  Let's ignore the 104's for now to make it easier:

We have 140 total lbs X ml for each pound:  140 X 2.7 = 378 ml (X 104) in this dude (or dudette).

And 378 ml X # white cells = 378 X 7 = 2,646 total white blood cells/140 pounds, times 10times 104.

How do we handle exponents when multiplying terms?  We add them, so 104 times 104 = 104+4 = 108

Now we have 2646 X 108, which = 2.646 X 1011   (since we moved the decimal to make a smaller number, the exponent count increases)