document.write( "Question 1105183: Third root of a^8 / (√a)^3 = a^x , where a > 1
\n" ); document.write( "In the equation above, what is the value of x? \n" ); document.write( "
Algebra.Com's Answer #719991 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Third root of a^8 / (√a)^3 = a^x , where a > 1
\n" ); document.write( " In the equation above, what is the value of x?
\n" ); document.write( "\"%28a%5E8%2F%28%28sqrt%28a%29%29%5E3%29%29%5E%281%2F3%29\" = \"a%5Ex\"
\n" ); document.write( "multiply the inside exponents by the outside exponent, 1/3
\n" ); document.write( "\"%28a%5E%288%2F3%29%2F%28%28sqrt%28a%29%29%5E1%29%29\" = \"a%5Ex\"; the top exponent is 8/3
\n" ); document.write( "the denominator can be written
\n" ); document.write( "\"%28a%5E%288%2F3%29%2Fa%5E%281%2F2%29%29\" = \"a%5Ex\"
\n" ); document.write( ":
\n" ); document.write( "\"a%5E%288%2F3-1%2F2%29\" = \"a%5Ex\"; that's \"8%2F3-1%2F2\"
\n" ); document.write( "\"a%5E%2816%2F6-3%2F6%29\" = \"a%5Ex\", that's \"16%2F6-3%2F6\"
\n" ); document.write( "\"a%5E%2813%2F6%29\" = \"a%5Ex\", that's \"13%2F6\"
\n" ); document.write( "therefore
\n" ); document.write( "x = \"13%2F6\"\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );