Question

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

Answer 1

Answer:

D choice.

Step-by-step explanation:

Law of Exponent:

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

Compare:

$\displaystyle \large{ {a}^{ \frac{m}{n} } = {5}^{ \frac{7}{3} } }$

• a = 5
• m = 7
• n = 3

Therefore:

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