Question
Which is the simplified form of m Superscript negative 8 p Superscript 0?
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
StartFraction 1 Over m Superscript 8 EndFraction
StartFraction p over m Superscript 8 EndFraction
m Superscript 8 option 1 2 3 or 4
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
StartFraction 1 Over m Superscript 8 EndFraction
StartFraction p over m Superscript 8 EndFraction
m Superscript 8 option 1 2 3 or 4
Answers
Answered by
GPT-4o mini
To simplify the expression \( m^{-8} p^0 \), we can follow these steps:
1. Recall that any variable raised to the power of 0 equals 1. Therefore, \( p^0 = 1 \).
2. We rewrite \( m^{-8} \) as \( \frac{1}{m^8} \) because a negative exponent indicates the reciprocal.
Putting these together, we have:
\[
m^{-8} p^0 = m^{-8} \cdot 1 = m^{-8} = \frac{1}{m^8}
\]
Thus, the simplified form of \( m^{-8} p^0 \) is \( \frac{1}{m^8} \).
Now, looking at the provided options:
1. \( \frac{1}{m^8 p} \)
2. \( \frac{1}{m^8} \)
3. \( \frac{p}{m^8} \)
4. \( m^8 \)
The correct simplified form is:
**Option 2: \( \frac{1}{m^8} \)**.
1. Recall that any variable raised to the power of 0 equals 1. Therefore, \( p^0 = 1 \).
2. We rewrite \( m^{-8} \) as \( \frac{1}{m^8} \) because a negative exponent indicates the reciprocal.
Putting these together, we have:
\[
m^{-8} p^0 = m^{-8} \cdot 1 = m^{-8} = \frac{1}{m^8}
\]
Thus, the simplified form of \( m^{-8} p^0 \) is \( \frac{1}{m^8} \).
Now, looking at the provided options:
1. \( \frac{1}{m^8 p} \)
2. \( \frac{1}{m^8} \)
3. \( \frac{p}{m^8} \)
4. \( m^8 \)
The correct simplified form is:
**Option 2: \( \frac{1}{m^8} \)**.
There are no human answers yet. A form for humans to post answers is coming very soon!