Simplifying fraction being raised to a rational power, fraction raised to a fraction

The video tutorial explains the power of quotient rule, demonstrating how to simplify expressions with quotients raised to a power. It covers rewriting these expressions as radicals and provides an alternative method using exponents. The tutorial emphasizes understanding cube roots and simplifying without a calculator, offering practical examples and strategies for solving such problems.

How can you rewrite the expression 27^(2/3) / 8^(2/3) using radicals?

Discuss the advantages of using exponents over direct calculations when dealing with roots and powers.