Question

12^4× 9³ × 4 / 6³×8²×27

Simplify that ​

Answer 1

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Answer 2

Answer:

Given,

12^4 * 9³ * 4 / 6³ * 8² * 27

Find,

simplify it

Step-by-step explanation:

SOLUTION

So,

=> (2²*3)^4 * (3²)³ * 2²/(2*3)³ * (2³)² * 3³

=> (2²)^4 * 3^4 * 3^6 * 2²/2³ * 3³ * 2^6 * 3³

=> 2^8 * 2² * 3^4 * 3^6/ 2³ * 2^6 * 3³ * 3³

=> 2^(8+2) * 3^(4+6)/2^(3+6) * 3^(3+3)

=> 2^10 * 3^10/ 2^9 * 3^6

=> 2^(10-9) * 3^(10-6)

=> 2¹ * 3^4

=> 2 * 81

=> 162