Question

If 2^(18) x 2^(4) x 2^(6) = k.2^(23), then find the value of k.​

Answer 1

Answer:

32

Step-by-step explanation:

2^18 × 2^4 × 2^6 = k × 2^23

Adding all the powers of 2 on RHS

2^28 = k × 2^23

Shifting 2^23 from RHS to LHS

2^28 / 2^23 = k

As the base is same (i.e. 2) and the two numbers are in division on LHS, we can subtract their power and write them as one number.

2^(28-23) = k

2^5 = k

32 = k

Hence the value of k is 32