document.write( "Question 69022: How do you simplify a cube of x to the fifth power \n" ); document.write( "

Algebra.Com's Answer #49200 by bucky(2189) $\"\"$ $\"About$

You can put this solution on YOUR website!
The cube of x is written $\"%28x%5E3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Raising this to the 5 power is written as $\"%28x%5E3%29%5E5\"$ \r
\n" ); document.write( "\n" ); document.write( "Notice that $\"%28x%5E3%29%5E5\"$ represents $\"x%5E3%29\"$ multiplied by itself 5 times ... or:\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3\"$ * $\"x%5E3\"$ * $\"x%5E3\"$ * $\"x%5E3\"$ * $\"x%5E3\"$ \r
\n" ); document.write( "\n" ); document.write( "and we multiply common terms with exponents by adding the exponents to get:\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3\"$ * $\"x%5E3\"$ * $\"x%5E3\"$ * $\"x%5E3\"$ * $\"x%5E3\"$ = $\"x%5E%283%2B3%2B3%2B3%2B3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "which simplifies to $\"x%5E15\"$ \r
\n" ); document.write( "\n" ); document.write( "The shorthand way of doing this is to use the rule that when a term with an exponent is raised to another exponent, you multiply the two exponents. In this case:\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E3%29%5E5\"$ \r
\n" ); document.write( "\n" ); document.write( "is found by multiplying the 3 by the 5 to get $\"x%5E15\"$ \r
\n" ); document.write( "\n" ); document.write( "Hope this helps you to understand exponents a little more. \n" ); document.write( "

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