document.write( "Question 30258: Simplify the expression\r
\n" ); document.write( "\n" ); document.write( "x5^-2/x^3
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Algebra.Com's Answer #17164 by sdmmadam@yahoo.com(530)\"\" \"About 
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\n" ); document.write( "x5^-2/x^3
\n" ); document.write( "If the problem is (x) multiplied by [5^(-2)] divided by (x^3)
\n" ); document.write( "then it is
\n" ); document.write( "(x)X [5^(-2)]/(x^3)
\n" ); document.write( "= [1/5^2]X[1/(x^3)X(x^-1)]
\n" ); document.write( "(using rule (a)^(-m) = 1/[(a)^m] and here a = 5 and m= 2 )----(*)
\n" ); document.write( "(And (a)^(m) = 1/[(a)^(-m)] where here a = x and m= 1)
\n" ); document.write( "=(1/25)X[1/x^(3-1)]
\n" ); document.write( "(when quantities of the same base are multiplied write the base and add the powers.)
\n" ); document.write( "=1/(25x^2)\r
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\n" ); document.write( "\n" ); document.write( "And if the problem is [(x^5)^(-2)]/x^3
\n" ); document.write( "= {x^[5X(-2)]}/x^3 (using [(a)^m]^n =a(mn) where here a = x, m= 5 and n = -2 )
\n" ); document.write( "= x^(-10)/x^3
\n" ); document.write( "= (1/x^10)X(1/x^3) (using (*) )
\n" ); document.write( "=1/[x^(10+3)](when quantities of the same base are multiplied write the base and add the powers.)
\n" ); document.write( "= 1/(x^13)
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