You can put this solution on YOUR website! Taking the 6th root of something is the same as raising it to the power or exponent
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So taking the 6th root of is the same as raising it to the exponent .
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This can be written as follows:
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Now you can apply the power rule of exponents. This rule says that when you have a term with
an exponent and you raise that term to an exponent, you multiply the two exponents.
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In this case, when you have:
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you multiply the exponent times the exponent and the product becomes the
new exponent for t.
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So we have as the new exponent for t the product: and the answer
becomes:
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Hmm. It appears as if the 1 in the numerator of the exponent is clipped off a little.
Hopefully this doesn't confuse you. But this exponent of 1/3 just tells you to find the
third root (or cube root) of t. And this can be written as:
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Hope this helps you to understand the problem along with providing you some information
about the meaning of fractional exponents and how to apply the power rule for exponents.
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