8. CBQ - Simplifying exponents

A student is working with exponents that include fractional powers. The teacher asks them to simplify an expression involving fractional exponents. The student must apply exponent rules to find the correct solution.

 

1. What is the value of ${\left(27\right)}^{(\frac{1}{3})}$?

 

2. What is the value of ${\left(243\right)}^{(\frac{2}{5})}$?

 

3. What is the value of ${\left(27\right)}^{(-\frac{1}{3})}$?

 

4. What is the value of ${(64)}^{(\frac{1}{2})}\times {(64)}^{(\frac{1}{3})}$?