Math, asked by Vanshika08Rana, 8 months ago

Answer the question correct plz......​

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Answered by Anonymous
9

\huge\star\sf\red{ANSWER}\star

( {64}^{ - 1 \div 6} \times {216}^{ - 1 \div 3} \times {81}^{1 \div 4} ) \div ({512}^{ - 1 \div 3} \times  {16}^{1 \div 4}  \times  {9}^{ - 1 \div 2} ) \\  =  ( {( {2}^{6}) }^{ - 1 \div 6}  \times  { ({6}^{3}) }^{ - 1 \div 3}  \times  { ({3}^{4}) }^{1 \div  4} ) \div ( {( {8}^{3}) }^{ - 1 \div 3}  \times   { ({2}^{4}) }^{1 \div 4}  \times  {( {3}^{2}) }^{ - 1 \div 2} ) \\  = ( {2}^{ - 1}  \times  {6}^{ - 1}  \times  {3}^{1} ) \div ( {8}^{ - 1}  \times  {2}^{1}  \times  {3}^{ - 1} ) \\  = ((1 \div 2) \times (1 \div 6) \times 3) \div ((1 \div 8) \times 2 \times (1 \div 3)) \\  = ((1 \times 1 \times 3) \div (2 \times 6)) \div ((1  \times 2 \times 1) \div (8 \times 3)) \\  = (3 \div 12) \div (2 \div 24) \\ = (1 \div 4) \div (1 \div 12) \\  = (1 \div 4) \times (12 \div 1) \\  = (1 \times 12) \div (4 \times 1) \\  = 12 \div 4 \\  = 3

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