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

Question

when x=5
. His steps are as follows:

Step 1: 4^5−14
Step 2: 20−14
Step 3: 6
In which step did Hank make a mistake? What should he have done differently?

(1 point)
Responses

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

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

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

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

Answer 1

Hank made a mistake in Step 2. He should've calculated the value of \( 4^5 \) to be 1,024 instead of incorrectly implying that it equals 20. Therefore, the correct response is:

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