1. Rules on dividing powers with same base:
Rule for dividing powers,
\(n^a \div n^b = n^{(a-b)}\)
Example:
\(4^4 \div 4^2 = 4^{(4-2)} = 4^2\)
2. When Zero is in power:
Any non zero value is raised to the power \(0\) it becomes \(1\).
(i.e) \(a^0 = 1\)
Example:
\(5^0 = 1\)
3. Negative Exponents:
Negative exponents can be written using the below rule
\(n^{-a} = \frac{1}{n^{a}}\)
Example:
\(4^{-2} = \frac{1}{4^{2}}\)