document.write( "Question 71974: what is the answer to (x cubed) w/ 5 as the outside exponent \n" ); document.write( "
Algebra.Com's Answer #51453 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
\"%28x%5E3%29%5E5\"
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\n" ); document.write( "You get the answer to this by multiplying the two exponents to get \"x%5E%285%2A3%29\" which
\n" ); document.write( "simplifies to \"x%5E15\".
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\n" ); document.write( "Think of it this way ... when you raise a quantity to the 5th power, you multiply that
\n" ); document.write( "quantity times itself until it appears 5 times in the string of multiplications. So what
\n" ); document.write( "you are asked to do in this problem is to raise \"x%5E3\" to the 5th power which translates
\n" ); document.write( "to:
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\n" ); document.write( "\"%28x%5E3%29%2A%28x%5E3%29%2A%28x%5E3%29%2A%28x%5E3%29%2A%28x%5E3%29\"
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\n" ); document.write( "Then in this string you can replace each of the \"x%5E3\" terms by \"x%2Ax%2Ax\" and the
\n" ); document.write( "result is:
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\n" ); document.write( "\"%28x%2Ax%2Ax%29%2A%28x%2Ax%2Ax%29%2A%28x%2Ax%2Ax%29%2A%28x%2Ax%2Ax%29%2A%28x%2Ax%2Ax%29\"
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\n" ); document.write( "and if you count them all up, there are 15 x's in this string ... which translates
\n" ); document.write( "to \"x%5E15\".
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\n" ); document.write( "That's why the rule that when you raise an quantity with an exponent to another power you
\n" ); document.write( "do so by just multiplying the exponents.
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\n" ); document.write( "Hope this helps you to see a little more about how exponents work.
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