Practice Exponent Rules in Math

Quick Recap

A set of laws governing how exponents behave under multiplication, division, and raising to a power: product rule ($a^m\cdot a^n=a^{m+n}$), quotient rule ($a^m\mathrm{/}{a}^n=a^{m-n}$), power rule ($(a^m{)}^n=a^{mn}$), zero exponent ($a^0=1$ for $a\mathrm{\ne }0$), and negative exponent ($a^{-n}=\frac{1}{a^n}$).

Since $a^3=a\cdot a\cdot a$ and $a^2=a\cdot a$, multiplying them gives $a\cdot a\cdot a\cdot a\cdot a=a^5$. You just add the counts. All the other rules follow the same logic of counting how many times you multiply.