document.write( "Question 125678: I am stuck with this one :
\n" ); document.write( "Q. Express in index form 1 divided by the square root of x
\n" ); document.write( "Q. Express in index form the square root to the power of 4 of x to the power of 5
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Algebra.Com's Answer #92072 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
You want to express $\"1%2Fsqrt%28x%29\"$ as $\"x%5Eb\"$ , so we need to find an appropriate value for b.\r
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\n" ); document.write( "\n" ); document.write( "First thing to realize is that $\"1%2Fa%5Em=a%5E%28-m%29\"$ , and the second thing is that $\"root%28n%2Ca%29=a%5E%281%2Fn%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Applying both of these rules, $\"b=-1%2F2\"$ , so your index form is $\"x%5E%28-1%2F2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "I think your second problem looks like this $\"%28sqrt%28x%5E5%29%29%5E4\"$ . Using $\"root%28n%2Ca%29=a%5E%281%2Fn%29\"$ again, we can say $\"%28sqrt%28x%5E5%29%29%5E4=%28%28x%5E5%29%5E%281%2F2%29%29%5E4\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Now we need another rule to apply: $\"%28a%5Em%29%5En=a%5Emn\"$ \r
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\n" ); document.write( "\n" ); document.write( "Since $\"5%2A%281%2F2%29%2A4=10\"$ , your index form becomes $\"x%5E10\"$ \n" ); document.write( "

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