Question

If 2⁹⁸ - 2⁹⁷ - 2⁹⁶ + 2⁹⁵ = m * 2⁹⁵ , find the value of m.

Answer 1

Dear student,
Here is the solution of your asked query:

$$\begin{gathered} 2^{98}-2^{97}-2^{96}+2^{95}=\mathrm{m}\times 2^{95} \\ \Rightarrow 2^{95}\left(2^3-2^2-2+1\right)=\mathrm{m}\times 2^{95} \\ \Rightarrow \left(8-4-2+1\right)=\mathrm{m} \\ \Rightarrow \mathrm{m}=3 \end{gathered}$$
Regards