Question

if 2⁹⁸ - 2⁹⁷ - 2⁹⁶ + 2⁹⁵ = m × 2⁹⁵, find the value of m.​

Answer 1

Answer : 3 ✔✔

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Solution :

${2}^{98} - {2}^{97} - {2}^{96} + {2}^{95} = m \times {2}^{95} \\ \\ = > m = \frac{ {2}^{98} - {2}^{97} - {2}^{96} + {2}^{95} }{ {2}^{95} } \\ \\ = > m = {2}^{3} - {2}^{2} - {2}^{1} + 1 \\ \\ = > m = 8 - 4 - 2 + 1 \\ \\ = > m = 3$

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