Evaluate $512^{\frac{1}{3}}$51213.
Evaluate $121^{\frac{1}{2}}$12112.
Evaluate $1^{\frac{1}{10}}$1110.
Evaluate $\left(-64\right)^{\frac{1}{3}}$(−64)13.
Analyse, through the use of patterning, the relationships between the exponents of powers and the operations with powers, and use these relationships to simplify numeric and algebraic expressions.