Simplify the Expression: 6²×6³×3² Using Exponent Rules

To simplify the expression $6^2 \times 6^3 \times 3^2$, we will apply the rules for exponents:

• Step 1: Identify powers with the same base. Here, we notice that $6^2$ and $6^3$ are powers with the base 6.
• Step 2: Use the rule $a^m \times a^n = a^{m+n}$ to combine these powers: $6^2 \times 6^3 = 6^{2+3} = 6^5$.
• Step 3: The term $3^2$ remains unaffected by this operation because its base differs from that of 6. Therefore, it stays as $3^2$.

Therefore, the simplified form of $6^2 \times 6^3 \times 3^2$ is $6^5 \times 3^2$.