Simplify $\frac{3^4\times 2^3}{3^2\times 2^1}$ and give the numeric value.

Step-by-step solution

1. Step 1: Evaluate $3^4=81$.
2. Step 2: Evaluate $2^3=8$.
3. Step 3: Multiply the numerator: $81\times 8=648$.
4. Step 4: Evaluate $3^2=9$.
5. Step 5: Evaluate $2^1=2$.
6. Step 6: Multiply the denominator: $9\times 2=18$.
7. Step 7: Divide: $648div18=36$.

Concept tested: Quotient of powers

Published 16 October 2026 · How this solution was prepared and checked