Which expression is equivalent to (5)^7/3
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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]
Therefore:
[tex] \displaystyle \large{{5}^{ \frac{7}{3} } = \sqrt[3]{ {5}^{7} } }[/tex]