Question

What is the simplified value of the exponential expression 27 1/3

Answer 1

Do you mean "27 raised to the 1/3 power?"  That can be written in "email speak" as 27^(1/3).

$27^{\frac{1}{3}}=\sqrt[3]{27} =3$

The definition of a rational (fractional) exponent is $a^\frac{p}{q} = \sqrt[q]{a^p} = (\sqrt[q]{a})^p$

Answer 2

Answer:

$27^{\frac{1}{3}}$ = 3 .

Step-by-step explanation:

Given  : $27^{\frac{1}{3}}$.

To find : What is the simplified value of the exponential expression.

Solution :  We have given  $27^{\frac{1}{3}}$.

By the radical rule :  $a^{\frac{1}{b}} = \sqrt[b]{a}$.

$27^{\frac{1}{3}}$ =  $\sqrt[3]{27}$.

We can write 27 as  3 * 3* 3

$27^{\frac{1}{3}}$ =  $\sqrt[3]{3 * 3* 3}$.

$27^{\frac{1}{3}}$ = 3 .

Therefore, $27^{\frac{1}{3}}$ = 3 .