What is the radical expression that is equivalent to the expression 27 1 over 5?

Question

asked Apr 13, 2020 15.6k views

1 Answer

Eddy Borja · Answer 1 · 2020-04-18T07:41:47+0000

Answer:

Given the expression:
$(27)^{(1)/(5)}$

Using the rule of radical and exponent power:

$\sqrt[n]{x} =x^{(1)/(n)}$

We can write 27 as:

$27 = 3 \cdot 3 \cdot 3 = 3^3$

Then;

$(27)^{(1)/(5)}$

⇒
$(3^3)^{(1)/(5)}$

⇒
$(3)^{(3)/(5)}$

Apply the rule:

$\sqrt[5]{3^3}$

Therefore, the radical expression that is equivalent to the expression
$(27)^{(1)/(5)}$ is
$\sqrt[5]{3^3}$