Question

please solve this question​

Answer 1

Please refer to the attachment. Hope it helps

Answer 2

Answer:

Required numeric value of $\dfrac{2^n + 2^{n-1}}{2^{n+1}-2^n}$ is 3 / 2.

Step-by-step explanation:

$\implies \dfrac{2^n + 2^{n-1}}{2^{n+1}-2^n}$

From the properties of indices :

• a^( m + n ) = a^m x a^n
• a^( m - n ) = a^m / a^n

Thus,

$\implies \dfrac{2^n+(\frac{2^n}{2^1})}{(2^n\times2^1)-2^n}\\\\\\\implies\dfrac{2^n(1+\frac{1}{2})}{2^n(2-1)}\\\\\\\implies\dfrac{\frac{2+1}{2}}{1}\\\\\\\implies\dfrac{3}{2}$

Hence the required value of$\dfrac{2^n + 2^{n-1}}{2^{n+1}-2^n}$ is 3 / 2.