document.write( "Question 679793: im having trouble learning the concept of simplifying problems like (3x^2)^3(-2x^3)^5, the answer is -864x^21 but i do not know hot to achieve this, another issue is along with (t^2/7)^2 (or also t squared over seven in parentices, then squared \n" ); document.write( "

Algebra.Com's Answer #422075 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
simplifying problems like (3x^2)^3(-2x^3)^5,
\n" ); document.write( ":
\n" ); document.write( "When raising a power, to another power, you multiply the exponents
\n" ); document.write( "distribute the outside exponents, inside the brackets
\n" ); document.write( " $\"%283%5E3%2Ax%5E%282%2A3%29%29\"$ * $\"%28-2%5E5%2Ax%5E%283%2A2%29%29\"$
\n" ); document.write( " (raising a neg number by an odd exponent always results in a negative)
\n" ); document.write( " $\"%2827%2Ax%5E6%29\"$ * $\"%28-32%2Ax%5E15%29\"$
\n" ); document.write( "combine like terms, add exponents when you multiply
\n" ); document.write( " $\"27%2A-32%2Ax%5E%286%2B15%29\"$
\n" ); document.write( " $\"-864%2Ax%5E21\"$
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( " $\"%28t%5E%282%2F7%29%29%5E2\"$ = $\"t%5E%28%282%2F7%29%2A2%29\"$ = $\"t%5E%284%2F7%29\"$ , (the exponent is 4/7) \n" ); document.write( "

\n" );