Question

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

Answer 1

D choice.

Explanation:

Law of Exponent:

`\displaystyle \large{ {a}^{ (m)/(n) } = \sqrt[n]{ {a}^(m) } }`

Compare:

`\displaystyle \large{ {a}^{ (m)/(n) } = {5}^{ (7)/(3) } }`

• a = 5
• m = 7
• n = 3

Therefore:

`\displaystyle \large{{5}^{ (7)/(3) } = \sqrt[3]{ {5}^(7) } }`