The use of fractional exponents give us the value 6(x^2y^3)^1/2 or 6xy^3/2.
What is exponent?
The term exponent is another way of writing the words, "raised to the power". It is used to show that a number has been raised to a certain power.
We have the term; 6√x^2y^3. When we try to write this as a fractional exponent instead of radicals we have; 6(x^2y^3)^1/2 or 6xy^3/2.
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