Question

Sorry for the bad quality!!! Please help me out

Answer 1

`( \sqrt[4]{ {5}^(3) } ) = {5}^{ (3)/(4) }`
Power over root


`( {5}^{ (3)/(4) } ) ^{ (1)/(2) }`
Multiple the exponents and that's your answer!

Answer 2

(C)
`5^{(3)/(8) }`

Explanation:

With a calculator, this would be pretty straightforward, but if not, there is an easy way to go about it:

1. Convert your fourth root to an exponent and use the exponent rule:
   `(5^(3))^{(1)/(4)*(1)/(2)  }`
2. Simplify with the exponent rule: (
   `(1)/(4)` *
   `(1)/(2)`) =
   `(1)/(8)` = (
   `5^(3)`)
   `^{(1)/(8) }`
3. Apply the exponent rule once more: 3 *
   `(1)/(8)` =
   `(3)/(8)`

And now, the answer is in the simplest of forms. If you have a calculator, this can easily be inserted to find the decimal value of it.