simplify:
(81/64 )^-3/4[(25/9)^-3/2÷(5/2)^-3 ]
plz solve this correct..plz plz plz..it's urgent
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Answer:
2√2
Explanation:
(81/64 )^-3/4[(25/9)^-3/2÷(5/2)^-3 ]
= (64/81)^3/4 [(9/25)^3/2÷(2/5)^3]
= (64/81)^3/4 [(3^2/5^2)^3/2÷(2/5)^3]
= (64/81)^3/4 [(3/5)^3÷(2/5)^3]
= (64/81)^3/4 [(3/5÷2/5)^3]
= (64/81)^3/4 [(3/5×5/2)^3]
= (64/81)^3/4 [(3/2)^3]
= {(64/81)^1/4}^3 × (3/2)^3
= {(2^6/3^4)^1/4 × (3/2)}^3
= {(2√2/3) × (3/2)}^3
= (√2)^3 = 2√2
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