irelafuentes
irelafuentes irelafuentes
  • 24-05-2019
  • Mathematics
contestada

Rewrite the expression with rational exponents as a radical expression.

Rewrite the expression with rational exponents as a radical expression class=

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TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 24-05-2019

Answer:

[tex]7\sqrt[3]{x^2}[/tex]

Step-by-step explanation:

The rule of exponents that dictates this to be solved is:

[tex]x^{\frac{a}{b}}=\sqrt[b]{x^a}[/tex]

The power of 2/3 is on "x", NOT 7, so we use this property to write it as:

[tex]x^{\frac{a}{b}}=\sqrt[b]{x^a} \\7x^{\frac{2}{3}}=7\sqrt[3]{x^2}[/tex]

third answer choice is right,  [tex]7\sqrt[3]{x^2}[/tex]

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