document.write( "Question 71368: Can help me solve this problem...instructions...what expression raised to the fourth power is 81x^12y^8z^16? \n" ); document.write( "
Algebra.Com's Answer #51071 by bucky(2189)\"\" \"About 
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what expression raised to the fourth power is \"81x%5E12y%5E8z%5E16\"
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\n" ); document.write( "Notice some things here ...
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\n" ); document.write( "\"81+=+%283%29%5E4\" and
\n" ); document.write( "\"x%5E12+=+%28x%5E3%29%5E4\" and
\n" ); document.write( "\"y%5E8+=+%28y%5E2%29%5E4\" and finally
\n" ); document.write( "\"z%5E16+=+%28z%5E4%29%5E4\"
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\n" ); document.write( "The last three of these (for the letter variables) show the power rule ... that if you raise
\n" ); document.write( "a term with an exponent to a power the result can be found by multiplying the power by
\n" ); document.write( "the exponent. In all of these cases the power 4 multiplies the exponent of the variable,
\n" ); document.write( "and the result is that it gets you back to the corresponding term of the original
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\n" ); document.write( "Now notice the power of 4 is common to every term. We can pull it and raise the entire
\n" ); document.write( "product to the power of 4. This results in:
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\n" ); document.write( "\"%283%2A%28x%5E3%29%2A%28y%5E2%29%2A%28z%5E4%29%29%5E4\"
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\n" ); document.write( "From this you can see that the term that when raised to the fourth power gives you the
\n" ); document.write( "original term in the problem is \"%283%2A%28x%5E3%29%2A%28y%5E2%29%2A%28z%5E4%29%29\"
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\n" ); document.write( "Hope this helps you to become a little more familiar with the properties of exponents
\n" ); document.write( "and especially how to raise variables with exponents to another power.
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