# Math

2power3×3power4×4 divide by 3×32

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1. I guess you mean
(2^3 * 3^4 * 4) / (3*32)
since multiplication is commutative, that is
(8*4 * 81)/(3*32) = (32*81)/(32*3) = 81/3 = 27

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oobleck
2. OR

3⁴ = 3 ∙ 3³

4 = 2²

32 = 2⁵

2³ ∙ 3⁴ ∙ 4 / ( 3 ∙ 32 ) =

2³ ∙ 3 ∙ 3³ ∙ 2² / ( 3 ∙ 2⁵ ) =

2³ ∙ 2² ∙ ( 3 / 3 ) ∙ 3³ / 2⁵ =

2 ⁽ ³ ⁺ ² ⁾ ∙ 1 ∙ 3³ / 2⁵ =

2⁵ ∙ 3³ / 2⁵ =

2⁵ / 2⁵ ∙ 3³ =

1 ∙ 3³ = 3³ = 27

2³ ∙ 3⁴ ∙ 4 / 3 ∙ 32 = 3³ = 27

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