Question

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?

Answer 1

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.