How can the properties of exponents solve exponential equations?

The properties of exponents would help solve exponential equations by creating an expression that can be simplified easily. It elps in simplfying a certain equation. It tells us how are terms that contain exponents can be added, subtracted, divided and multiplied. For addition, terms having the same can only be added. This would be also true for subtraction. For example, we have x^2 + y^3, these terms could not be added since they have different base. For multiplication, we can readily multiply these terms and add the exponents of the terms with the same base, x^2(y^2)(x) = x^3y^2. For division, they can also be divided readily but, terms with the same base, the exponents are to be subtracted, x^3 / x^2 = x.