Question

Which expression is equivalent to ​

Answer 1

`(p^2)/(r)`

Explanation:

Using the rules of exponents

`(a^mb^n)^(p)` =
`a^(mp)`
`b^(np)`

`a^(-m)` =
`(1)/(a^(m) )`

`(p^10r^-5)^(1/5)`

=
`p^(10(1/5))` ×
`r^(-5(1/5))`

= p² ×
`r^(-1)`

= p² ×
`(1)/(r)`

=
`(p^(2) )/(r)`

Answer 2

A

Explanation:

(P^10r^-5)^(1/5)

= p^(10×1/5) × r^(-5×1/5)

= p^2 × r^-1

= p^2/r