The result of simplifying the expression x³/₅ / x³/₁₀ using the exponent rules is [tex]\sqrt[10]{}[/tex](x³)
To solve this exercise we have to resolve algebraic operations following the exponent rules.
[(x)³/₅ ] / [(x)³/₁₀]
Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:
x⁽³/⁵ ⁻³/¹⁰⁾
(x)⁽⁶⁻³⁾/¹⁰
(x)³/¹⁰
As we have a fractional exponent, you must convert the exponent to root:
[tex]\sqrt[10]{}[/tex](x³)
In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
Learn more about exponent at: brainly.com/question/847241
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