9. In a tennis competition, 128 players were selected for a series of knockout rounds. In each round the losers were eliminated and the winners reached the next round. How many players moved the next round after 4th round? Express this number in the exponential notation in terms of initial number of players.
Pls friends give answer in method.
Lesson name is Exponents
Answers
Totally 2^42
4
= 16 players moved to the next round after 4th round.
Step-by-step explanation:
Given:
In a tennis competition 128 players were selected for a series of knockout rounds. in each round the losers were eliminated and the winners reached the next round.
To find;
How many players moved to the next round after 4th round? express this number in the exponential notation in terms of the initial numbers of players
Solution:
In a Knock out match, the winner moves to the next round whereas loser gets eliminated without second chance. Thus at the end of each round, only half the players move forward and the losers are eliminated.
The no. of players in the first round = 128 = 2^72
7
Second round = 2^62
6
Third round = 2^52
5
Fourth round = 2^42
4