26. Find the value of (64)-2/3 (124...
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26. Find the value of (64)-2/3 (124 (2) 2 (3) 1 (4) 8

11th - 12th Class
Maths
Solution
462
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26. (3) ( (64)^{-2 / 3} timesleft(frac{1}{4}right)^{-2} ) ( =left(4^{3}right)^{-2 / 3} times(4)^{2} ) ( =(4)^{3 x-frac{2}{3}} times 4^{2} quadleft[becauseleft(a^{m}right)^{n}=a^{m n}right] ) ( =4^{-2} times 4^{2} quadleft[because a^{m} times a^{n}=a^{m+n}right] ) ( =4^{-2+2}=4^{0}=1 )
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