Discussion

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*This question is included in Nova Press: Problem Solving Diagnostic Test, question #10

The solution is

Posted: 04/12/2012 18:45
How does this work, why does the integer change to 2
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Contributor
Posted: 04/12/2012 21:06
Enea, we are only rewriting 4 as 2 raised to the power of 2. Then the powers 2 and x are multiplied (you do that when an exponent is raised again to another power). Hope this helps.
Posted: 04/22/2012 00:47
I don't get it
Posted: 04/22/2012 01:06
Nvm i get now:D
Posted: 11/13/2013 04:55
Shouldn't the 2 in front of the x be squared as well?
Posted: 11/13/2013 04:56
Sorry I meant shouldn't the 4 be squared as well?
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Contributor
Posted: 11/13/2013 13:39
Nathalie, I am not quite sure what you are with the 2 in front of the x being squared. Have you tried to follow the step by step explanation?

(4x)^2 = 4^2x, since (x^a)^b = x^ab.
Then we have (2^2)^2x, since 4 is 2^2. Finally, the it's 2^4x, since (x^a)^b = x^ab.

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