Evaluate the following:-
I) (2/3)^4×(1/4)^2=?
ii) (-3/2)^2×(-2/3)^4=?
iii) (-1/2)^5×2^3×(3/4)=?
iv) (-4/5)^2×(125/64)×15/2×1/6=?
v) {(-2/3)^3÷4/9}÷(5/3)^3=?
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Answer:
1 ). 1/81 2).4/9 3). -3/16 4). 75/48 5). -18/125
Step-by-step explanation:
1) (2/3)^4 × (1/4)^2 = (16/81) × (1/16) = 1/81
2) (-3/2)^2× (-2/3)^4 = (9/4) × (16/81) = 4/9
3) (-1/2) ^5 × (2)^3 × (3/4) = (-1/32) × 8 × (3/4) = -3/16
4) (-4/5)^2 × (125/64) × (15/2) × (1/6) = (16/25)×(125/64)×(15/2)×(1/6) = 75/48
5) {(-2/3)^3÷(4/9)} ÷ (5/3)^3 = {(-8/27)×(9/4)}×(27/125) = (-2/3)×(27/125) = -18/125
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