Question

27. On simplifying (2 ^ 30 + 2 ^ 29)/(2 ^ 31 - 2 ^ 30) we get​

Answer 1

Answer:

1/2

Step-by-step explanation:

= $(2^{30} + 2^{29}) / (2^{31}-2^{30})$

= $(2*2^{29}+2^{29}) / (2* 2^{30}-2^{30})$

= $(2^{29}(2+1)) / (2^{30} (2+1))$

= $\frac{3* 2^{29} }{3* 2^{30} }$

= $2^{29} * 2^{-30}$

= $2^{-1\\}$

= 1/2