The expression \sqrt[4]x^3 represents the fourth root of x^3 . This means that if you take x^3 and find a number that, when raised to the power of 4, equals x^3 , you will have the value of \sqrt[4]x^3 . In simpler terms, the fourth root of a number is the value that, when multiplied by itself four times, gives that number. For example, if x = 16 , then \sqrt[4]16^3 would yield a specific numerical result based on the properties of exponents and roots.