Find the value of2raised to thepower 3 × 6 raised to the power 4 × 1

1.	Find the value of2raised to thepower 3 × 6 raised to the power 4 × 12 raised to the power 2
Answer» 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

Find the value of2raised to thepower 3 × 6 raised to the power 4 × 12 raised to the power 2

Answer»

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

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Find the value of2raised to thepower 3 × 6 raised to the power 4 × 12 raised to the power 2​

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Find the value of2raised to thepower 3 × 6 raised to the power 4 × 12 raised to the power 2