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?

1 answer

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.