Question

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

Answer 1

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 .

Answer 2

Equivalent expressions are expressions of equal values

The simplified value of the exponential expression 27^(1/3) is 3

The expression is given as:

$27^{1/3}$

Express 27 as 3^3

$27^{1/3} = 3^{3 * 1/3}$

Evaluate the product

$27^{1/3} = 3^{1}$

Evaluate the exponent

$27^{1/3} = 3$

Hence, the simplified value of the exponential expression 27^(1/3) is 3

Read more about equivalent expressions at:

https://brainly.com/question/2972832