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SQRT(x) = 25, then x^3-x^2 = ?

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by PANJIEMING » Tue Apr 13, 2010 2:43 am
Hi I still suck with exponents...

SQRT(x) = 25, then x^3-x^2 = ?

A. 5^12
B. 5^20
C. 6(6^5)
D. 5^4(5^2+1)
E. 5^8(5^4-1)

The anser is E and I don't get how you can get there from 625^3-625^2 - pl shelp. THANKS
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by gmat.cracker24 » Tue Apr 13, 2010 3:12 am
sqrt(x)=25=5^2
x=5^4
x^2=5^8
x^3=5^12
x^3-x^2=5^12-5^8
=5^8(5^4-1)
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by thephoenix » Tue Apr 13, 2010 3:18 am
The anser is E and I don't get how you can get there from 625^3-625^2 - pl shelp. THANKS
625^3-625^2=(5^4)^3-(5^4)^2=5^12-5^8=5^8(5^4-1)
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