SIMPLIFY (81/16}-3/4 X {(25/9)-3/2 DIVIDED BY (5/2)-3}
SIMPLIFY AND FACTORISE (a+b+c)2 - (a-b-c)2 + 4b2 -4c2
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(81/16)^-3/4 ×(25/9)^-3/2
={(3^4/2^4)^ -3/4 }×{(5^2/3^2)^-3/2}
={(3/2)^4×-3/4}×{(5/3)^2×-3/2}
={(3/2)^-3}×{(5/3)^-3}
={(1÷3/2)^3}×{(1÷5/3)^3}
={(1×2/3)^3}×{(1×3/5)^3}
={(2/3)^3}×{(3/5)^3}
={8/27}×{27/125}
=8/27×27/125
=8/125
={(3^4/2^4)^ -3/4 }×{(5^2/3^2)^-3/2}
={(3/2)^4×-3/4}×{(5/3)^2×-3/2}
={(3/2)^-3}×{(5/3)^-3}
={(1÷3/2)^3}×{(1÷5/3)^3}
={(1×2/3)^3}×{(1×3/5)^3}
={(2/3)^3}×{(3/5)^3}
={8/27}×{27/125}
=8/27×27/125
=8/125
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