Rewriting a exponential equation to solve using one to one properties (2/3)^x = 4/9

The video tutorial explains the properties of exponents, focusing on how to handle expressions where an exponent is raised to another exponent. It uses a common example to demonstrate that when bases are the same, exponents can be set equal to solve for unknowns. The tutorial emphasizes rewriting expressions to have the same base, allowing for easier problem-solving. The session concludes with a promise of more examples to reinforce the concepts.

What conclusion can be drawn when the bases are the same in an exponent equation?

What is the significance of setting the exponents equal to each other?