document.write( "Question 611063: SIMPLIFY THE EXPRESSION.\r
\n" ); document.write( "\n" ); document.write( "(3x^4)^3/x^15\r
\n" ); document.write( "\n" ); document.write( "Please explain each step. Thank you! \n" ); document.write( "

Algebra.Com's Answer #384789 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%283x%5E4%29%5E3%2Fx%5E15\"$
\n" ); document.write( "According to the order of operations (aka PEMDAS), exponents come before multiplying or dividing. So we start in the numerator. Using the rule for exponents, $\"%28a%2Ab%29%5Eq+=+a%5Eq%2Ab%5Eq\"$ , on $\"%283x%5E4%29%5E3\"$ we get:
\n" ); document.write( " $\"%283%5E3%2A%28x%5E4%29%5E3%29%2Fx%5E15\"$
\n" ); document.write( "Using the rule for exponents, $\"%28a%5Eq%29%5Ep+=+a%5E%28q%2Ap%29\"$ , on $\"%28x%5E4%29%5E3\"$ and since $\"3%5E3+=+27\"$ we get:
\n" ); document.write( " $\"%2827x%5E12%29%2Fx%5E15\"$
\n" ); document.write( "Next we use another rule for exponents, $\"a%5Eq%2Fa%5Ep+=+a%5E%28q-p%29\"$ , on $\"x%5E12%2Fx%5E15\"$ we get:
\n" ); document.write( " $\"27x%5E%28-3%29\"$
\n" ); document.write( "This may be an acceptable answer. If you don't want a negative exponent, then we can replace $\"x%5E%28-3%29\"$ with $\"1%2Fx%5E3\"$
\n" ); document.write( " $\"27%281%2Fx%5E3%29\"$
\n" ); document.write( "which simplifies to
\n" ); document.write( " $\"27%2Fx%5E3\"$ \n" ); document.write( "

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