document.write( "Question 157413: How do you solve 625 to the 3/4 power? \n" ); document.write( "

Algebra.Com's Answer #116013 by gonzo(654) $\"\"$ $\"About$

You can put this solution on YOUR website!
unless you have a reason not to, i would solve it with a calculator.
\n" ); document.write( " $\"625%5E%283%2F4%29\"$ is the same as the 4th root of 625 taken to the 3d power.
\n" ); document.write( "it is also 625 taken to the 3d power and then taking the 4th root of that.
\n" ); document.write( "in your calculator you would take 625 to the 3d power and then take the 4th root of that.
\n" ); document.write( "you could also take the 4th root of 625 and then take that to the 3d power.
\n" ); document.write( "answer is 125.
\n" ); document.write( "without a calculator, some logic might help you find the solution.
\n" ); document.write( "looking at 625, you might know that 5^4 = 625 (5*5*5*5).
\n" ); document.write( "if you know that, then you know that the 4th root of 625 is 5.
\n" ); document.write( "if you know that then the problem is well on its way to being solved because all you then have to do is take 5 to the 3d power which is 125.\r
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