document.write( "Question 892569: [(3/4^2-5)-(2/5-4*2)]/(2*3^3/2+2^2) \n" ); document.write( "

Algebra.Com's Answer #540608 by LinnW(1048) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28%283%2F4%5E2-5%29-%282%2F5-4%2A2%29%29%2F%282%2A3%5E3%2F2%2B2%5E2%29\"$
\n" ); document.write( "Apply order of operations, applying exponents first
\n" ); document.write( " $\"%28%283%2F16-5%29-%282%2F5-4%2A2%29%29%2F%282%2A9%2F2%2B4%29\"$
\n" ); document.write( "Now do one round of multiplication and division. The 3/16 operation is deferred
\n" ); document.write( " $\"%28%283%2F16-5%29-%282%2F5-8%29%29%2F%2818%2F2%2B4%29\"$
\n" ); document.write( "Now perform the division 18/2
\n" ); document.write( " $\"%28%283%2F16-5%29-%282%2F5-8%29%29%2F%289%2B4%29\"$
\n" ); document.write( "Next simplify (3/16-5). $\"%283%2F16-%285%2A16%2F16%29%29\"$ = $\"%283%2F16-%2880%2F16%29%29\"$ = $\"%28-77%2F16%29\"$
\n" ); document.write( "Now simplify $\"%282%2F5-8%29\"$ = $\"%282%2F5-8%2A%285%2F5%29%29\"$ = $\"%282%2F5-%2840%2F5%29%29\"$ = $\"-38%2F5\"$
\n" ); document.write( "Putting it together
\n" ); document.write( " $\"%28%28-77%2F16%29-%28-38%2F5%29%29%2F%289%2B4%29\"$
\n" ); document.write( " $\"%28%28-77%2F16%29%2B%2838%2F5%29%29%2F%2813%29\"$
\n" ); document.write( "A common denominator for the top is 5*16 = 80
\n" ); document.write( " $\"%28%28-77%2F16%29%2A%285%2F5%29%2B%2838%2F5%29%2A%2816%2F16%29%29%2F%2813%29\"$
\n" ); document.write( " $\"%28%28-385%2F80%29%2B%28608%2F80%29%29%2F%2813%29\"$
\n" ); document.write( " $\"%28%28223%2F80%29%29%2F13\"$
\n" ); document.write( "******************
\n" ); document.write( " $\"%28%28223%2F80%29%29%2A%281%2F13%29\"$
\n" ); document.write( " $\"%28223%2F2480%29\"$
\n" ); document.write( "Notice that a good solver such as wolframalpha will give you
\n" ); document.write( "the above result. Try entering ((3/4^2-5)-(2/5-4*2))/(2*3^3/2+2^2) at
\n" ); document.write( "www.wolframalpha.com \n" ); document.write( "

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