Question

Simplify (81/16)-¾ × [(9/25)³/² ÷ (5/2)-³]​

Answer 1

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[81/16]^-3/4 × {[9/25]^3/2 ÷ [5/2]^-3} Simplify

→ [81/16]^-3/4 × { 9^3/2 / 25^3/2 ÷ [2³/5³]}

→ 81^-3/4 / 16^-3/4 × (3²)^3/2 /(5²)^3/2 ÷ 2³/5³

→(3⁴)^-3/4 /(2⁴)^-3/4 × [3³/5³ × 5³/2³]

→3^-3/2^-3 × [3³ × 1/2³]

→3^-3/2^-3 × [27/8]

→ 3^-3/2^-3 × 3³/2³

→ 1/1= 1

The required solution...

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Answer 2

Answer:

Hope it helps you.......