Express each of the following as a product of prime factors only in exponential form: 108 × 192

Dear Student

The factors of 108 = 2 × 2 × 3 × 3 × 3
= 2² × 3³
The factors of 192 = 2 × 2 × 2 × 2 × 2 × 2 × 3
= 2⁶ × 3
Then,
=(2² ×3³) × (2⁶ x 3)
= 2^{2 + 6}× 3^{3 +3} ... [∵a^m × aⁿ = a^m+n]
= 2⁸ × 3⁶

​Thanks