Answer:
4
Explanation:
Given:
12^8 ÷ 12^4
To find:
The exponent.
We know ÷ = Reciprocal of the corresponding number
To find, we use law of indices, which says:
This says if we have a common base,here 12, then subtract the exponent on numerator and denominator to get the actual result.
Hence here a = 12, b = 8, c = 4.
So,
- 12^8/12^4 = 12^(8-4) = 12^4
Hence,the missing exponent = 4