simplify:-[(2/3)^2]^3×(2/3)^-4×3^-1×1/6
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Answer:
2/3⁴ = 2/81
Step-by-step explanation:
[ { (2/3)²}³ × { (2/3)^-4 } × 3^(-1) × (1/6) ]
=> (2/3)⁶ × (3/2)⁴ × (1/3) × (1/6)
=> (2⁶/3⁶)× (3⁴/2⁴) × (1/3) × { 1/(2×3) }
=> ( 2⁶ × 3⁴ ) ÷ ( 3⁶×2⁴×3×2×3)
=> (2⁶×3⁴) ÷ (3⁸×2⁵)
=> (2⁶/2⁵) × (3⁴/3⁸)
=> 2× (1/3⁴)
=> 2/81
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