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Which expression is equivalent to (5)^7/3

Which Expression Is Equivalent To 573 class=

Sagot :

Answer:

D choice.

Step-by-step explanation:

Law of Exponent:

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

Compare:

[tex] \displaystyle \large{ {a}^{ \frac{m}{n} } = {5}^{ \frac{7}{3} } }[/tex]

  • a = 5
  • m = 7
  • n = 3

Therefore:

[tex] \displaystyle \large{{5}^{ \frac{7}{3} } = \sqrt[3]{ {5}^{7} } }[/tex]