To compare the amounts of money in their accounts, let's simplify 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: $ 2^9⋅(2^−2)^−3/2 = $ 2^(9-2*(-3))/2 = $ 2^(9+6)/2 = $ 2^15/2 = $ 2^(15-1) = $ 2^14
Therefore, Sama has more money in her account than Jimena.
The difference in the amount of money they have is:
$ 5^6 - $ 2^14
Sama: $ 5^8⋅5^4/(5^3)^2
Jimena: $ 2^9⋅(2^−2)^−3/2
(4 points)
Who has more money in their account?
What is the difference in the amount of money that they have?
1 answer