find the value of 1/[(3power4)power1/2]power-2
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Step-by-step explanation:
(iii) (5/2)-3 = (2/5)3 = 23/53 = 8/125
(iv) (-2)-5 = 1/(-2)-5 = 1/-25 = 1/-32 = -1/32
(v) (-3/4)-4 = (4/-3)4 = (-4/3)4 = (-4)4/34 = 44/34 = 256/81
2. Evaluate: (-2/7)-4 × (-5/7)2
Solution:
(-2/7)-4 × (-5/7)2
= (7/-2)4 × (-5/7)2
= (-7/2)4 × (-5/7)2 [Since, (7/-2) = (-7/2)]
= (-7)4/24 × (-5)2/72
= {74 × (-5)2}/{24 × 72 } [Since, (-7)4 = 74]
= {72 × (-5)2 }/24
= [49 × (-5) × (-5)]/16
= 1225/16
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