You can put this solution on YOUR website! I assume you mean the 12th root of 64:
When simplifying radicals the first thing you look for are factors of the radicand (the expression inside a radical) that are powers of the type of root. In this case we would look for factors of 64 that are powers of 12. Since factoring out a 1 is rarely useful we start by checking 2. . And obviously higher numbers to the 12th power will be even higher. So there are no factors of 64 that are 12th powers of anything (except 1).
Another way to simplify radicals can be done once you've learned about fractional exponents. If the radicand is a power of some sumber, write it that way. Since we have 3 choices as to how we rewrite 64. In this case choose an exponent that is a factor of the root. But all these exponents, 2, 3 and 6, are all factors of 12. In this case choose the smallest base. So we will use :
Next we rewrite the radical with a fractional exponent:
This fraction reduces. (This is why we look for an exponent that is a factor of the type of root.)
Now we can rewrite it back in radical form:
or
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