### Exponential Law [3/6]The Power Of A Power Law

This law comes from the definition of the exponent, and applications of Product Of Powers Law.

Let’s say we have (2^2)^5.

By the definition of exponentiation, we have (2^2)*(2^2)*(2^2)*(2^2)*(2^2). Now we apply the Product Of Powers Rule, and we get 2^(2+2+2+2+2). Add up all those 2 and we get: 2^10.

Instead of doing all that, we use the Power of a power rule.