Respuesta :

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

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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