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akposevictor

Applying the product rule of exponents, the expression that is equivalent to x^⅔ + 1/x^⅔ is: E. [tex]\mathbf{\frac{x^{4/3} + 1}{x^{2/3}}}[/tex]

What is the Product Rule of Exponents?

The product rule of exponents is stated as: a[tex]x^m \times x^n = x^{m + n}[/tex].

Given the following expression:

x^⅔ + 1/x^⅔

Find the common factor of both fractions and solve as shown below:

[tex]\frac{(x^{2/3})(x^{2/3}) + (1)(1) }{x^{2/3}}[/tex]

Apply the product rule of exponents

[tex]\frac{(x^{2/3+2/3}) + 1 }{x^{2/3}}\\\\\mathbf{\frac{x^{4/3} + 1}{x^{2/3}}}[/tex]

The equivalent expression is: E. [tex]\mathbf{\frac{x^{4/3} + 1}{x^{2/3}}}[/tex]

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batolisis

The expression that is equivalent to x^⅔ + 1/x^⅔ is: E. [tex]\frac{x^{4/3} +1}{x^{2/3} }[/tex]

Meaning of equivalent expression

An equivalent expression is a an expression that is equivalent to another equation.

It is an expressions that is either a version of another expression

It can also be said to be an expression that summarizes simplifies a parent expression or problem.

In conclusion, The expression that is equivalent to x^⅔ + 1/x^⅔ is: E. [tex]\frac{x^{4/3} +1}{x^{2/3} }[/tex]

Learn more about equivalent expression  : https://brainly.com/question/11258067

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