Question

Which expression is equivalent to (p^10r^−5)^1/5 ?

1/pr

1/p^2r

p^2/r

p^2r

Answer 1

Correct answer option is C) p^2/r.

Answer 2

p^2/r

Explanation:

An equivalent expression is the expression in simplest form. Here apply exponent rules by multiplying the exponents of each term by 1/5.

`(p^(10)r^(-5))^{(1)/(5)}\\\\(p^{(10)/(5)}r^{(-5)/(5)})\\\\p^2r^(-1)\\\\(p^2)/(r)`