Two students have bank accounts:
Sama: $ (5 ^ 8 * 5 ^ 4)/((5 ^ 3) ^ 2)
Jimena: \$ (2 ^ n * (2 ^ - 2) ^ - 3)/2
What is the difference in the amount of money that they have?
7 times more money
$1000
$523
$759
To simplifying the expressions:
Sama:
= (5 ^ 8 * 5 ^ 4)/((5 ^ 3) ^ 2)
= (5 ^ (8 + 4))/((5 ^ 6))
= 5 ^ 12 / 5 ^ 6
= 5 ^ (12 -6)
= 5 ^ 6
Jimena:
= (2 ^ n * (2 ^ - 2) ^ - 3)/2
= (2 ^ n * 2 ^ (2 * 3))/2
= (2 ^ n * 2 ^ 6)/2
= 2 ^ (n + 6) / 2
= 2 ^ (n + 5)
To find the difference in the amount of money they have, we need the values of n. Since the value of n is not given, we cannot evaluate Jimena's expression. Therefore, we cannot determine the difference in the amount of money they have.