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When dividing expressions with exponents, you can use the properties of exponents to simplify the expression. Here's how:

Step 1: Subtract Exponents

To divide two terms with the same base, subtract the exponent of the divisor from the exponent of the dividend. For example, $$x^a÷x^b=x^{a-b}$$.

For instance, if you have $$x^5÷x^2$$, you subtract the exponents: $$x^{5-2}=x^3$$.

Step 2: Simplify

If there are additional terms in the expression, simplify them as well. For example, if you have $$\left(x^5\cdot y^3\right)÷\left(x^2\cdot y\right)$$, divide the x's and y's separately: $$x^{5-2}\cdot y^{3-1}=x^3\cdot y^2$$.

Remember, when dividing exponents with the same base, subtract the exponents.

This process is crucial in algebra and higher-level mathematics when dealing with expressions containing exponents.