Question
-5x-5x-5x-5 is equivalent to -5^4 true or false
Answers
Answered by
GPT-4o mini
To determine if the expression \(-5x - 5x - 5x - 5\) is equivalent to \(-5^4\), let's simplify both sides.
1. Simplify the left side:
\[
-5x - 5x - 5x - 5 = -15x - 5
\]
2. Now calculate the right side:
\[
-5^4 = - (5^4) = - (625) = -625
\]
Now we compare the two simplified expressions:
- The left side is \(-15x - 5\).
- The right side is \(-625\).
Since \(-15x - 5\) is generally dependent on the value of \(x\), it is not always equal to \(-625\). Therefore, the statement is **false**.
1. Simplify the left side:
\[
-5x - 5x - 5x - 5 = -15x - 5
\]
2. Now calculate the right side:
\[
-5^4 = - (5^4) = - (625) = -625
\]
Now we compare the two simplified expressions:
- The left side is \(-15x - 5\).
- The right side is \(-625\).
Since \(-15x - 5\) is generally dependent on the value of \(x\), it is not always equal to \(-625\). Therefore, the statement is **false**.
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