Question

(2 power 30 +2 power 29 + 2 power 28)/2 power 31 + 2 power 30 - 2 power 29​

Answer 1

Given: The term (2^30 +2^29 + 2^28) / (2^31 + 2^30 - 2^29​ )

To find: The value of the given term.

Solution:

• So now the given term is (2^30 +2^29 + 2^28) / (2^31 + 2^30 - 2^29​ )

• Lets consider numerator first, we have:

                  (2^30 +2^29 + 2^28)

• Taking 2^28 common, we get:

                  2^28 ( 2^2 + 2 + 1 )

• Lets consider denominator now, we have:

                  (2^31 +2^30 - 2^29)

• Taking 2^28 common, we get:

                  2^28 ( 2^3 + 2^2 - 2 )

• Now taking it together we get:

                  2^28 ( 2^2 + 2 + 1 ) / 2^28 ( 2^3 + 2^2 - 2 )

• Cancelling 2^28 , we get:

                  ( 2^2 + 2 + 1 ) / ( 2^3 + 2^2 - 2 )

                  (4+2+1 ) / (8+4-2)

                  7/10

Answer:

      So the value of given term is 7/10.