**Did you know?**
Did you know that in algebraic expressions, when you raise a variable to a certain power and divide it by the same variable to a different power, you can simplify the expression? For example, in the expression (a^9 * b^3) / (a^7 * b^8), you can simplify it by subtracting the exponents of the common variables. This results in (a^(9-7) * b^(3-8)), which further simplifies to (a^2 / b^5). By reducing the powers of a and b, we obtain a simpler and more concise expression. Remember, such simplifications can be very useful in solving equations and understanding the relationships between variables.