Question

find the value of
2raised to thepower 3 × 6 raised to the power 4 × 12 raised to the power 2​

Answer 1

Step-by-step explanation:

= 2^3 × 6^4 × 12^2

= 2^3 × (2×3)^4 × (2×2×3)^2

= 2^3 × 2^4 × 3^4 × 2^2 ×2^2 × 3^2

= (2^3 × 2^4 × 2^2 × 2^2) × (3^4 × 3^2)

【POWERS ARE ADDED IF THERE IS SAME BASE】

= 2^(3 + 4 + 2 + 2) × 3^(4 + 2)

= 2^11 × 3^6

= 2048 x 729

= 1,492,992