Example 6: Exponent Laws

Exponents and Roots

Example 6

Step-by-step worked example for this lesson track.

Problem

\text{In }6^{3}\cdot 6^{2}\text{, what is the exponent on }6?

1. Recognize Pattern

a^m\cdot a^n=a^{m+n},\;\frac{a^m}{a^n}=a^{m-n}

2. Apply Method

6^{5}\cdot 6^{1}=6^{6}=46656

3. Conclude

6^{3}\cdot 6^{2}=6^{5}

Final answer

6^{3}\cdot 6^{2}=6^{5}