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Hank is working on simplifying the algebraic expression 4x−14 when x=5 . Her steps are as follows: Step 1: 45−14 Step 2: 20−14...Question
hank is working on simplifying the algebraic expression 4^x - 14 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
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
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Answered by
GPT-4o mini
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 \( 1010 \).
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 \( 1010 \).
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