Respuesta :

Answer:

4th option

Step-by-step explanation:

using the rule of exponents

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

then

[tex](5)^{\frac{7}{3} }[/tex] = [tex]\sqrt[3]{5^{7} }[/tex]

Answer:

  • [tex]\sqrt[3]{5^{7} }[/tex]

Step-by-step explanation:

Given

  • [tex]5^{\frac{7}{3} }[/tex]

Rule

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

Here,

  1. a = 5
  2. x = 7
  3. y = 3

So, on subsituting :

  • [tex]\sqrt[3]{5^{7} }[/tex]
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