How to use the power property of exponents

The video tutorial explains the rule of exponents, focusing on the power rule. It describes how a number raised to an exponent and then raised to another exponent results in multiplying the exponents while keeping the base the same. An example is provided, demonstrating that 10 squared raised to the third power equals 10 to the sixth power. The tutorial concludes by emphasizing the importance of following mathematical rules.

Why is it important to use the same base when applying the power rule?

How can following the rules of exponents be compared to following rules in everyday life?