Two students have bank accounts: Sama: $ 5^8*5^4/(5^3)^2 Jimena: $ 2^9⋅(2^−2)^−3/2 (4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Who has more money in their account? Response area What is the difference in the amount of money that they have?

Question

Two students have bank accounts: Sama: $ 5^8*5^4/(5^3)^2 Jimena: $ 2^9⋅(2^−2)^−3/2 (4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Who has more money in their account? Response area What is the difference in the amount of money that they have?

Answer 1

Sama has more money in her account.

The difference in the amount of money they have is $ 5^8*5^4/(5^3)^2 - $ 2^9⋅(2^−2)^−3/2.

Answer 2

how much more money in a whole number

Answer 3

To calculate the exact difference in a whole number, we need to evaluate the expression.

Sama's account balance is $ 5^8*5^4/(5^3)^2 = 5^8 * 5^4 / 5^6 = 5^6 = 15625.

Jimena's account balance is $ 2^9 * (2^−2)^−3/2 = 2^9 * 2^6 = 2^15 = 32768.

The difference in the amount of money is 32768 - 15625 = 17143 dollars.