Two students have bank accounts:
Sama: $ 43⋅ 4−4(42)−5
Jimena: $ 3 ⋅ (38)2(32)3 ⋅ 30
Which person has the most money in their account?
(1 point)
Responses
A
You cannot compare the total amount because the bases are different.
B
They have the same amount of money
C
Sama
D
Jimena
To compare the amount of money in each account, we need to simplify the expressions and compare the values.
For Sama's account:
Sama = $43⋅4−4(42)−5
= $43⋅4−169−5
= $172−169−5
= $3−5
= -$2
For Jimena's account:
Jimena = $3⋅(38)2(32)3 ⋅ 30
= $3⋅144⋅27⋅30
= $116,640
Comparing the values, we can see that Jimena has the most money in her account. Therefore, the answer is:
D) Jimena