Hank is working on simplifying the algebraic expression 4^x−14

Question

when x=5
. Her steps are as follows:

Step 1: 4^5−14

Step 2: 20−14

Step 3: 6

In which step did Jenny make a mistake? What should she have done differently?

(1 point)
Responses

Step 3, 20−14
should be 20÷14
.
Step 3, 20 minus 14 should be 20 divided by 14.

Step 2, Jenny should've calculated the value of 4^5
to be 1,024.

Step 2, Jenny should've added 4 and 5 to get 9.

Step 1, Jenny should've multiplied 4⋅5
instead of writing 5 as the exponent.

Answer 1

Jenny made a mistake in Step 2. The correct calculation for \( 4^5 \) is 1,024, so her steps should have been:

Step 1: \( 4^5 - 14 \)

Step 2: \( 1024 - 14 \)

Instead of calculating \( 20 - 14 \), which was incorrect. Thus, the correct response is:

Step 2, Jenny should've calculated the value of \( 4^5 \) to be 1,024.