Question

Which of the following is equivalent to (5)7/3 ?

0 5^-4
O 5^4
O √√53
3√57
O

Answer 1

3sqrt 5^7

Explanation:

Answer 2

This is a property of exponent:

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

Compare to this:

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

Hence, Option 4 is correct!!