two students have bank accounts:
Sama- 5^8 x 5^4/ (5^3)^2
Jimena- 2^9 -(2^-2)^-3
Who has more money in their account?
What was the difference in the amount of money?
To determine who has more money in their account, we need to simplify the expressions for Sama and Jimena.
Sama's expression:
Sama = (5^8 x 5^4) / (5^3)^2
= 5^(8+4) / 5^(2*3)
= 5^12 / 5^6
= 5^(12-6)
= 5^6
Jimena's expression:
Jimena = 2^9 - (2^(-2))^(-3)
= 2^9 - 2^(-2*(-3))
= 2^9 - 2^6
= 512 - 64
= 448
Comparing their values, we find that Sama has 5^6 in her account, while Jimena has 448.
The difference in the amount of money is given by:
Difference = Sama - Jimena
= 5^6 - 448
However, without knowing the values assigned to specific currencies or units, we cannot determine the numerical difference between their accounts.