Question 625265
"^13sqrt"???
Do you mean {{{(root(13, 2x^6y))^5}}}? If yes, then<ul><li>This is not a square root. It is a 13th root.</li><li>The 13 is not an exponent even though it may look like one. It is the "index" of the radical which indicates which kind of root it is.</li><li>To post problems with roots that are not square roots, do not use "sqrt" to describe it. For this problem you could either:<ul><li>Use some English like: "(the 13th root of (2x^6y))^5"; or</li><li>Teach yourself the syntax used by algebra.com to display these mathematical expressions. Click on the "Show Source" link above to see what I typed to get the 13th root to display. Look for the expressions inside the sets of three braces: {...} 
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Radical expressions can be replaced with fractional/rational exponents. The fraction (or ratio) to use when replacing a radical with a rational exponent is 1 over the index of the radical. So to replace our radical with a rational exponent we will use 1/13:
{{{((2x^6*y)^(1/13))^5}}}
Now we just use the power of a power rule for exponents (i.e. multiply the exponents:
{{{(2x^6*y)^(5/13)}}}<br>
P.S. Square roots do not have a visible index. For example: {{{sqrt(2)}}}. A missing/invisible index is considered to be a 2. IOW, {{{sqrt(2)}}} means the same thing as {{{root(2, 2)}}}. So the rational exponent for square roots is 1/2.