document.write( "Question 480377: what is 5 to the sixth power multiply 2 to the sixth power? \n" ); document.write( "

Algebra.Com's Answer #329579 by bucky(2189) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can do this one by just thinking about it.
\n" ); document.write( ".
\n" ); document.write( "First use the power rule. Namely this rule says:
\n" ); document.write( ".
\n" ); document.write( " $\"%28a%2Ab%29%5En+=+a%5En%2Ab%5En\"$
\n" ); document.write( ".
\n" ); document.write( "You can apply this in reverse order. What you were given is:
\n" ); document.write( ".
\n" ); document.write( " $\"5%5E6+%2A+2%5E6\"$
\n" ); document.write( ".
\n" ); document.write( "Since both exponents are \"6\", they can be pulled out as a single exponent as follows:
\n" ); document.write( ".
\n" ); document.write( " $\"5%5E6+%2A+2%5E6+=+%285%2A2%29%5E6\"$
\n" ); document.write( ".
\n" ); document.write( "But look at the right side term inside the parentheses. It is just 5 times 2 and that obviously is 10. Therefore, the right side of this equation becomes:
\n" ); document.write( ".
\n" ); document.write( " $\"%285%2A2%29%5E6+=+10%5E6\"$
\n" ); document.write( ".
\n" ); document.write( "And $\"10%5E6\"$ is equal to $\"1%2A10%5E6\"$ which is one followed by six zeros as follows:
\n" ); document.write( ".
\n" ); document.write( " $\"1000000\"$
\n" ); document.write( ".
\n" ); document.write( "That's the answer to this problem ... 1,000,000 or One Million.
\n" ); document.write( ".
\n" ); document.write( "Hope this gives you a new insight into working with exponents. \n" ); document.write( "

\n" );