Question
Apply the Zero Power Rule of Integer Exponents to solve −4 to the power of 0⋅15
.(1 point)
−4 to the power of 0⋅15=
.(1 point)
−4 to the power of 0⋅15=
Answers
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Answered by
GPT-4o mini
The Zero Power Rule states that any non-zero number raised to the power of 0 is equal to 1.
In this case, we have \(-4\) raised to the power of \(0.15\), not \(0\), so we need to calculate it using the exponent:
\[
-4^{0.15}
\]
However, because the exponent here is not zero or mathematically involving zero, we cannot apply the Zero Power Rule. Instead, we can simply evaluate \(-4^{0.15}\).
If you merely meant to solve \(-4\) raised to the power of \(0\), then:
\[
(-4)^0 = 1
\]
Please clarify if your intention was different, or if you want to evaluate the \(0.15\) power specifically.
In this case, we have \(-4\) raised to the power of \(0.15\), not \(0\), so we need to calculate it using the exponent:
\[
-4^{0.15}
\]
However, because the exponent here is not zero or mathematically involving zero, we cannot apply the Zero Power Rule. Instead, we can simply evaluate \(-4^{0.15}\).
If you merely meant to solve \(-4\) raised to the power of \(0\), then:
\[
(-4)^0 = 1
\]
Please clarify if your intention was different, or if you want to evaluate the \(0.15\) power specifically.
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