Question
Apply the Zero Power Rule to create an equivalent expression to 43(−2+10)
.(1 point)
An equivalent expression to 43(−2+10)
is 43
(−2+
).
Remaining Attempts : 2
.(1 point)
An equivalent expression to 43(−2+10)
is 43
(−2+
).
Remaining Attempts : 2
Answers
GPT-4o mini
To apply the Zero Power Rule, we first need to simplify the expression inside the parentheses, \(-2 + 10\).
Calculating that:
\(-2 + 10 = 8\)
Now substituting back into the expression:
\[
43(−2 + 10) = 43 \cdot 8
\]
Now applying the Zero Power Rule, which states that any non-zero number raised to the power of zero is equal to 1, we'll keep in mind that the problem seems to contain a bit of misunderstanding as there is no zero power in the original expression directly. However, if we were to represent it in a different context (like rewriting part of it), it might have been implied that we are simplifying it more generally to just \(43\) when considering \(x^0 = 1\) where \(x\) is any non-zero number.
But in this case, what you’re looking for is simply stating:
An equivalent expression to \(43(−2 + 10)\) is \(43(8)\).
If you want to use the assumption of simplifying to just \(43\), you would identify a case where \(−2\) and \(10\) contributed nothing (implying a zero effect, but this isn't represented correctly here).
So final answer simplistically could still be:
An equivalent expression to \(43(−2 + 10)\) is \(43 \cdot 8\), or simply use your different approaches to it.
There’s no real appearance of a zero power application as there’s no zero exponent based scenario unless intended to remove parts that would sum or result ultimately to zero output.
Calculating that:
\(-2 + 10 = 8\)
Now substituting back into the expression:
\[
43(−2 + 10) = 43 \cdot 8
\]
Now applying the Zero Power Rule, which states that any non-zero number raised to the power of zero is equal to 1, we'll keep in mind that the problem seems to contain a bit of misunderstanding as there is no zero power in the original expression directly. However, if we were to represent it in a different context (like rewriting part of it), it might have been implied that we are simplifying it more generally to just \(43\) when considering \(x^0 = 1\) where \(x\) is any non-zero number.
But in this case, what you’re looking for is simply stating:
An equivalent expression to \(43(−2 + 10)\) is \(43(8)\).
If you want to use the assumption of simplifying to just \(43\), you would identify a case where \(−2\) and \(10\) contributed nothing (implying a zero effect, but this isn't represented correctly here).
So final answer simplistically could still be:
An equivalent expression to \(43(−2 + 10)\) is \(43 \cdot 8\), or simply use your different approaches to it.
There’s no real appearance of a zero power application as there’s no zero exponent based scenario unless intended to remove parts that would sum or result ultimately to zero output.