Question

Which of the following properties can be used to show that the expression 4^{\frac{5}{3}} is equivalent to \sqrt[3]{4^{5}}

Answer 1

see below

Explanation:

Not knowing what properties you have to choose from, it'll be one that looks like
`a^{(m)/(n)}=\sqrt[n]{a^(m)}`;

The base (a) stays the same;

the Numerator in the exponent is the exponent on the base;

and the Denominator in the exponent is the index (root number) of the radical.