What is 27 to the power of 1/3?

Power, in exponents, is defined as the total number of times we use the number in a multiplication. For example, 2 to the power 3 means 2 is multiplied 3 times.

Answer: 27 to the power of 1/3 is 3.

Let's see the solution step by step.

Explanation:

Given: 27 to the power of 1/3 can be written as 27^(1/3).

We know that 27 can also be expressed as 3³.

27^(1/3) = 3^3(1/3)

Now, we apply the exponent rules, (a^m)ⁿ = a^mn

So we cancel the common factor of 3

3¹ = 3

Thus, 27 to the power of 1/3 is 3.