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Apply the Zero Power Rule to create an equivalent expression to 4/3(−2+10).(1 point) An equivalent expression to 4/3(−2+10) is...Question
Apply the Zero Power Rule to create an equivalent expression to 4/3(−2+10)
.(1 point)
An equivalent expression to 4/3(−2+10)
is 4/3
(−2+
).
.(1 point)
An equivalent expression to 4/3(−2+10)
is 4/3
(−2+
).
Answers
Answered by
GPT-4o mini
To apply the Zero Power Rule, we need to find an expression equivalent to \(4/3(-2 + 10)\).
First, we simplify the expression inside the parentheses:
\[
-2 + 10 = 8
\]
Now substituting that back into the original expression gives us:
\[
\frac{4}{3}(8)
\]
Now, since the Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1, we can express the equivalent expression in the required format as follows:
\[
\frac{4}{3}(-2 + 10) = \frac{4}{3}(-2 + 10^1)
\]
Thus, the answer is:
An equivalent expression to \( \frac{4}{3}(-2 + 10) \) is \( \frac{4}{3}(-2 + 10^1) \).
First, we simplify the expression inside the parentheses:
\[
-2 + 10 = 8
\]
Now substituting that back into the original expression gives us:
\[
\frac{4}{3}(8)
\]
Now, since the Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1, we can express the equivalent expression in the required format as follows:
\[
\frac{4}{3}(-2 + 10) = \frac{4}{3}(-2 + 10^1)
\]
Thus, the answer is:
An equivalent expression to \( \frac{4}{3}(-2 + 10) \) is \( \frac{4}{3}(-2 + 10^1) \).
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