What is the simplified value of the exponential expression 27 superscript one-third?

Step-by-step explanation:

According to the Exponents Law. When We have a number raised to a fraction as having the root of one number, whose index is the denominator of one number raised to the numerator.

So,

The simplified value of the exponential expression 27 superscript one-third is 3.

Solution:

Given that the number is 27 superscript one-third.

Since three power three gives 27 ()

27 can be rewritten as

Now 27 superscript one third is written as

Apply the power rule and multiply exponents,

Hence we get,

The powers 3 in the numerator and denominator cancel each other. Thus we get the solution as 3.

Hence the simplified value of the exponential expression 27 superscript one-third is 3.