document.write( "Question 276679: i have a question. i am asked to put in simplest form. (2/3)^-2(4/5)^-1. im not sure about the answer. i think its 7/2 is that correct. i would appreciate the help. thanks a bunch \n" ); document.write( "

Algebra.Com's Answer #201675 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%282%2F3%29%5E%28-2%29%284%2F5%29%5E%28-1%29\"$
\n" ); document.write( "A -1 as an exponent means \"reciprocal of\" so $\"%284%2F5%29%5E%28-1%29+=+5%2F4\"$
\n" ); document.write( "A -2 as an exponent means \"reciprocal of the square\" (or \"square of the reciprocal\") so $\"%282%2F3%29%5E%28-2%29+=+%283%2F2%29%5E2+=+9%2F4\"$
\n" ); document.write( "Substituting these into your expression we get:
\n" ); document.write( " $\"%289%2F4%29%285%2F4%29\"$
\n" ); document.write( "which simplifies to
\n" ); document.write( " $\"45%2F16\"$
\n" ); document.write( "which, as a mixed number is
\n" ); document.write( " $\"2%2613%2F16\"$ \n" ); document.write( "

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