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 August 9th, 2011, 12:27 PM #1 Newbie   Joined: Aug 2011 Posts: 1 Thanks: 0 Simplify using index laws Hi, I am little confused by a sample problem within a book I'm working through. The problem is to simplify using index laws: $\frac{(K^3 + K^2)^7}K$ and the answer the books gives is: $\frac{(K^3 \times K^2)^7}K= \frac{(K^3)^7}K = \frac{K^3^5}K = K^3^4$ But I'm a little confused about the $(K^3)^7$, I thought it should be $(K^5)^7$ because $(K^3 \times K^2)^7= (K^3^+^2)^7$ Have I missed a step? Thanks for any help provided. P.S Apologies if my LaTex is a little off (first time I have used it)
 August 9th, 2011, 01:02 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Simplify using index laws We are given: $\frac{$$K^3\times K^2$$^7}{K}=\frac{$$K^{3+2}$$^7}{K}=\frac{$$K^5$$^ 7}{K}=\frac{K^{5\times 7}}{K}=\frac{K^{35}}{K}=K^{35-1}=K^{34}$

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