document.write( "Question 78647: how do you know when to multiply the exponet? \n" ); document.write( "

Algebra.Com's Answer #56398 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Lets say you have something like\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2%29%5E3\"$ \r
\n" ); document.write( "\n" ); document.write( "This breaks down to\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2%29%28x%5E2%29%28x%5E2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Now if we multiply this out we get\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E%282%2B2%2B2%29=x%5E6\"$ \r
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\n" ); document.write( "\n" ); document.write( "Which is equivalent to\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E%282%2A3%29=x%5E6\"$ \r
\n" ); document.write( "\n" ); document.write( "So this way is much faster since if we had $\"%28x%5E5%29%5E20\"$ we would have to add 5 to itself 20 times. However, we can use multiplication as a shortcut to get to the same answer.\r
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\n" ); document.write( "\n" ); document.write( "So you multiply exponents when you have an expression with an exponent (like $\"x%5E2\"$ ) that is raised to another exponent (for instance $\"%28x%5E2%29%5E3=x%5E%282%2A3%29=x%5E6\"$ ) \n" ); document.write( "

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