The result of simplifying the expression (x³/x⁻¹)⁻¹/₄ using the exponent rules is 1/x
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(x³/x⁻¹)⁻¹/₄
Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:
(x⁽³⁻⁽⁻¹⁾)⁻¹/⁴
(x⁽³⁺¹⁾)⁻¹/⁴
(x⁴)⁻¹/⁴
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:
x⁽⁴*⁻¹/⁴⁾
x⁽⁻⁴/⁴⁾
x⁽⁻¹⁾
As we have a negative exponent, you have to pass the exponent to the denominator:
1/x
What is an exponent?
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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