Find the value of m if [2/3]^4+m× [2/3]^2+m =[2/3]^9-m
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[ 2 / 3 ] ⁴ + m × [ 2 / 3 ] ² + m = [ 2 / 3 ] ⁹ - m
16 / 81 + m × ( 2 / 3 ) ² + m = ( 2 / 3 ) ⁹ - m
16 / 81 + m × ( 4 / 9 ) + m = ( 2 / 3 ) ⁹ - m
16 / 81 + 13 / 9 m = ( 2 / 3 ) ⁹ - m
16 / 81 + 13 / 9 m = 512 / 19693 - m
16 / 81 + 13 / 9 m + m = 512 / 19693
16 / 81 + 22 / 9 m = 512 / 19683
22 / 9 m = 512 / 19683 - 16 / 81
22 / 9 m = 512 / 19683 - 3888 / 19683
22 / 9 m = 512 - 3888 / 19683
22 / m = - 3376 / 19683
m = - 3376 / 19683 × ( 9 / 22 )
m = - 3376 × 9 / 19683 × 22
m = - 30384 / 433026
m = - 1688 / 24057
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