Rewrite the expression $2^3\times 2^2\times 3^1$ as a single power of 2 multiplied by a power of 3, and give its numeric value.

Step-by-step solution

1. Combine same bases: $2^3\times 2^2=2^{3+2}=2^5$.
2. Keep the factor $3^1$ separate: $2^5\times 3^1$.
3. Convert to numbers: $2^5=32$ and $3^1=3$.
4. Multiply $32\times 3=96$.
5. Thus the value is 96.

Concept tested: Combining exponents of like bases

Published 10 October 2026 · How this solution was prepared and checked