document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=325606>Question 325606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4^11 x 5^21 = 2 x 10^n\r<BR>\n" );
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document.write( "what is the value of n using simplified calculation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #233136 by </B><A HREF=/tutors/aboutme.mpl?userid=AAfter+Search><B>AAfter Search(61)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=AAfter+Search><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=233136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4^11 x 5^21 = 2 x 10^n<BR>\n" );
document.write( "=> (2^2)^11 x 5^21 = 2^1 x (2x5)^n<BR>\n" );
document.write( "=> 2^22 x 5^21 = 2^(1 + n) x 5^n<BR>\n" );
document.write( "=> Comparing the exponents of 5 on both sides of equality sign, we get n = 21. <BR>\n" );
document.write( "The same result is found from the exponent of 2. </SPAN>\n" );
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