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Gemiola [76]
3 years ago
7

Simplify: A fraction. The numerator is the fourth root of x cubed. The denominator is the cube root of x squared.

Mathematics
1 answer:
Anarel [89]3 years ago
5 0

First it would be helpful to remove the radicals found in the numerator and denominator. We can do this by the property \sqrt[n]{x^m} = x^{\frac{m}{n}}.


This means that our fraction now becomes:

\dfrac{x^{\frac{3}{4}}}{x^{\frac{2}{3}}}


Now, we can subtract the exponents of x because of the fact that the numerator and denominator both have a base of x:

x^{\frac{3}{4} - \frac{2}{3}}

x^{\frac{1}{12}}


Our answer is \boxed{x^{\frac{1}{12}}}.

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