two students have bank accounts
sama: $(5^(8)*5^(4))/((5^(3))^(2))
jimena: $(2^(9)*(2^(-2))^(-3))/(2)
who has more money in their account?
what is the difference in the amount of money that they have?
To determine who has more money in their account, we need to simplify the expressions given for each student:
For Sama:
$(5^8 * 5^4)/((5^3)^2)$
= $(5^12)/(5^6)$
= $5^6$
= 15,625
For Jimena:
$(2^9 * 2^(-2))^(-3))/2$
= $(2^7) * 1/2$
= $2^6$
= 64
Therefore, Sama has more money in her account with $15,625 compared to Jimena's $64.
The difference in the amount of money they have is:
$15,625 - $64 = $15,561.