Question

Which equation is equivalent to 81^1/3​

Answer 1

A

Explanation:

The expression
`81^(1)/(3)` has a fractional exponent. Fractional exponents represent radical expressions. The base of the fraction is the index of the radical while the the numerator is the exponent of the base.

`81^(1)/(3) = \sqrt[3]{81}`

However, this can be simplified further using radical rules: 81 = 3*3*3*3. So, the expression becomes:

`\sqrt[3]{81} =3\sqrt[3]{3}`