Please simplify question 6
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The answer must be this
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(81/16)^-3/4 × [(25/4)^-3/2 ÷ (5/2)^-3]
81 = 3^4 and 16=2^4 and 25 = 5^2 and 4=2^2
putting these
= (3^4/2^4)^-3/4 × [(5^2/2^2)^-3/2 ÷ (5/2)^-3]
= (3/2)^4×-3/4 × [(5/2)^2×-3/2 ÷ (5/2)^-3]
= (3/2)^-3 × [(5/2)^-3 ÷ (5/2)^-3]
= (2/3)^3 × 1
= (2/3)^3
= 8 / 27
81 = 3^4 and 16=2^4 and 25 = 5^2 and 4=2^2
putting these
= (3^4/2^4)^-3/4 × [(5^2/2^2)^-3/2 ÷ (5/2)^-3]
= (3/2)^4×-3/4 × [(5/2)^2×-3/2 ÷ (5/2)^-3]
= (3/2)^-3 × [(5/2)^-3 ÷ (5/2)^-3]
= (2/3)^3 × 1
= (2/3)^3
= 8 / 27
pravinsir:
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it's 9k
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