document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347928>Question 347928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a.(a b^2) ^5 simplify<BR>\n" );
document.write( "b. (2x)^2 x (2x)^4 simplify<BR>\n" );
document.write( "c.(m^3 n^2) ^3 <BR>\n" );
document.write( "d. 2^5 x 2^-7/2^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248825 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=248825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A.<BR>\n" );
document.write( "(ab^(2))^(5)\r<BR>\n" );
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document.write( "Expand the exponent (5) to the expression.<BR>\n" );
document.write( "a^(5)b^(2*5)\r<BR>\n" );
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document.write( "Multiply 2 by 5 to get 10.<BR>\n" );
document.write( "a^(5)b^(10)\r<BR>\n" );
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document.write( "B.(2x)^(2)(2x)^(4)\r<BR>\n" );
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document.write( "Expand the exponent (2) to the expression.<BR>\n" );
document.write( "2^(2)x^(2)(2x)^(4)\r<BR>\n" );
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document.write( "Squaring a number is the same as multiplying the number by itself (2*2).  In this case, 2 squared is 4.<BR>\n" );
document.write( "4x^(2)(2x)^(4)\r<BR>\n" );
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document.write( "Expand the exponent (4) to the expression.<BR>\n" );
document.write( "(4x^(2))*2^(4)x^(4)\r<BR>\n" );
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document.write( "Raising a number to the 4th power is the same as multiplying the number by itself 4 times.  In this case, 2 raised to the 4th power is 16.<BR>\n" );
document.write( "(4x^(2))*16x^(4)\r<BR>\n" );
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document.write( "Multiply 16x^(4) by each term inside the parentheses.<BR>\n" );
document.write( "64x^(6)\r<BR>\n" );
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document.write( "C.<BR>\n" );
document.write( "(m^(3)n^(2))^(3)\r<BR>\n" );
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document.write( "Expand the exponent (3) to the expression.<BR>\n" );
document.write( "m^(3*3)n^(2*3)\r<BR>\n" );
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document.write( "Multiply 3 by 3 to get 9.<BR>\n" );
document.write( "m^(9)n^(2*3)\r<BR>\n" );
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document.write( "Multiply 2 by 3 to get 6.<BR>\n" );
document.write( "m^(9)n^(6)\r<BR>\n" );
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document.write( "D.<BR>\n" );
document.write( "2^(5)*(2^(-7))/(2^(3))\r<BR>\n" );
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document.write( "Raising a number to the 5th power is the same as multiplying the number by itself 5 times.  In this case, 2 raised to the 5th power is 32.<BR>\n" );
document.write( "32*(2^(-7))/(2^(3))\r<BR>\n" );
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document.write( "To divide 2^(-7) by 2^(3), subtract the denominator exponent from the numerator exponent.<BR>\n" );
document.write( "32*2^(-7-3)\r<BR>\n" );
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document.write( "Subtract 3 from -7 to get -10.<BR>\n" );
document.write( "32*2^(-10)\r<BR>\n" );
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document.write( "Remove the negative exponent by rewriting 2^(-10) as (1)/(2^(10)).  A negative exponent follows the rule a^(-n)=(1)/(a^(n)).<BR>\n" );
document.write( "32*(1)/(2^(10))\r<BR>\n" );
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document.write( "Raising a number to the 10th power is the same as multiplying the number by itself 10 times.  In this case, 2 raised to the 10th power is 1024.<BR>\n" );
document.write( "32*(1)/(1024)\r<BR>\n" );
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document.write( "Cancel the common factor of 32 from the first term 32 and the denominator of the second term (1)/(1024).<BR>\n" );
document.write( "1*(1)/(32)\r<BR>\n" );
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document.write( "Multiply 1 by (1)/(32) to get (1)/(32).<BR>\n" );
document.write( "(1)/(32)\r<BR>\n" );
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document.write( "The approximate value of 2^(5)*(2^(-7))/(2^(3)) is 0.03.<BR>\n" );
document.write( "0.03 </SPAN>\n" );
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