The result of simplifying each number x²/₇ . x³/₁₄ using the exponent rules is [tex]\sqrt{}[/tex]x
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(x²/₇) * (x³/₁₄)
Base= x
Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:
(x) ⁽²/₇ ⁺ ³/₁₄⁾
(x) ⁽⁴⁺³⁾/₁₄
(x) ⁽⁷/¹⁴⁾
(x) ⁽¹/²⁾
As we have a fractional exponent, you must convert the exponent to root:
[tex]\sqrt{}[/tex]x
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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