document.write( "Question 121726: Please help me answer this question:\r
\n" ); document.write( "\n" ); document.write( " $\"%281%2F8%29-2%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( "I started this:\r
\n" ); document.write( "\n" ); document.write( "(1/8)-2/3 = 1/(1/8)-2/3) = 1 x (8/1)-2/3 this is where I get stuck.\r
\n" ); document.write( "\n" ); document.write( "Thanks. \n" ); document.write( "

Algebra.Com's Answer #89357 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Your problem is either subtracting fractions or taking fractions to a fractional power.
\n" ); document.write( "We can look at both. \r
\n" ); document.write( "\n" ); document.write( " $\"1%2F8-2%2F3\"$
\n" ); document.write( "Subtractng fractions.
\n" ); document.write( "Whenever you add or subtract fractions you need to have the same denominator.
\n" ); document.write( "The easiest way to get a common denominator is to make it the product of your two denominators.
\n" ); document.write( " $\"D=8%2A3=24\"$
\n" ); document.write( "Now find each fraction as an equivalent fraction with denominator of 24.
\n" ); document.write( " $\"1%2F8=x%2F24\"$
\n" ); document.write( " $\"24%2A%281%2F8%29=x\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( " $\"1%2F8=3%2F24\"$
\n" ); document.write( "and
\n" ); document.write( " $\"2%2F3=y%2F24\"$
\n" ); document.write( " $\"24%2A%282%2F3%29=y\"$
\n" ); document.write( " $\"y=16\"$
\n" ); document.write( " $\"2%2F3=16%2F24\"$
\n" ); document.write( "Now you can subtract.
\n" ); document.write( " $\"1%2F8-2%2F3=3%2F24-16%2F24\"$
\n" ); document.write( " $\"1%2F8-2%2F3=%283-16%29%2F24\"$
\n" ); document.write( " $\"1%2F8-2%2F3=-%2813%2F24%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Taking fractions to a fractional power.
\n" ); document.write( " $\"%281%2F8%29%5E%28-2%2F3%29\"$
\n" ); document.write( "You can also look at 1/8 as $\"8%5E%28-1%29\"$ .
\n" ); document.write( " $\"%281%2F8%29%5E%28-2%2F3%29=%288%5E%28-1%29%29%5E%28-2%2F3%29\"$
\n" ); document.write( "From your exponentiation rules,
\n" ); document.write( " $\"%28x%5EM%29%5EN=x%5E%28M%2AN%29\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"%281%2F8%29%5E%28-2%2F3%29=%288%5E%28-1%29%29%5E%28-2%2F3%29\"$
\n" ); document.write( " $\"%281%2F8%29%5E%28-2%2F3%29=%288%29%5E%282%2F3%29\"$
\n" ); document.write( " $\"%281%2F8%29%5E%28-2%2F3%29=%282%29%5E%282%29\"$
\n" ); document.write( " $\"%281%2F8%29%5E%28-2%2F3%29=4\"$ \n" ); document.write( "

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