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Use Rational exponents to write as a single radical expression. Assume that all variables represent positive real numbers

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2 Answers

To write this expression as a single radical, we must find a way to express the terms with the same type of root so that we may multiply them together. First, we rewrite the terms with fractional exponents.
Given that the denominator represents the type of root, we can multiply the terms by finding the lowest common denominator of their exponents. For 3 and 5 this is 15, so we rewrite both of our terms with exponents that have a denominator of 15.
Now we can switch back to radical notation
With the same type of root we can multiply these
15 √(53x5)
And further simplifying the term 53 gives the answer
Rewrite the radicals as fractional exponents then find a common denominator