hank is working on simplifying the algebraic expression 4^x - 14 when x = 5 her steps are as follows

Question

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

Answer 1

Hank made a mistake in step 2.

Let's review the steps:

1. In step 1, Hank correctly substituted \( x = 5 \) into the expression: \( 4^5 - 14 \).
2. In step 2, Hank incorrectly calculated \( 4^5 \). The correct calculation should be: \[ 4^5 = 1024 \] So instead of writing \( 20 - 14 \), it should have been \( 1024 - 14 \).
3. If done correctly, in step 3, the calculation would be: \[ 1024 - 14 = 1010 \]

Therefore, Hank's mistake was in not correctly calculating \( 4^5 \) in step 2. The correct expression after the first step should be \( 1024 - 14 \). The final answer should be \( 1010 \).