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SATŪ Math Question



 
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SAT Math Question #1 (permalink) Fri Jan 20, 2012 12:58 pm   SAT Math Question
 

Caution:- I am very very dumb at math!

Please help me with couple of question & let me know the method of solving:-

Q1- If a (exponent or is to power) b a^b=4, and 3b=2, what is the value of a?
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SAT Math Question #2 (permalink) Tue May 22, 2012 23:52 pm   SAT Math Question
 

since b = (2/3), we can rewrite a^b and change that into a^(2/3).

Now:

a^(2/3) = 4

the trick for all exponent problems is that you have to get all the numbers into prime bases. so we turn that 4, into 2^2:

a^(2/3) = 2^2

We can then take both sides to the (3/2) power (so that the 2/3 cancels out):

[a^(2/3)]^(3/2) = [2^2]^(3/2)
You will now see that:

a = 2^3 = 8
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