Mistake Students Make Solving Exponential Equation

The video tutorial discusses the relationship between exponents, emphasizing that the equality of exponents only holds when the bases are the same. It begins with an introduction to the concept, followed by examples where changes in the exponent values alter the equality. The tutorial concludes by reinforcing the importance of having equal bases for the exponent relationship to be valid.

What is the significance of the statement 'X is no longer equal to two' in the context of changing equations?

What happens to the value of X when the equation changes from X = 3 squared to X = a two times a 3 squared?

How does changing the base or exponent affect the equality of X?

Discuss the implications of having different bases in exponential equations.

Explain why the relationship only works when the exponents are equal and the bases are the same.