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

Answer 1

To simplify \( m^{-8} p^0 \), we start by applying the rules of exponents.

1. \( p^0 \) is equal to 1, since any non-zero number raised to the power of 0 is 1.
2. Therefore, we have \( m^{-8} \cdot 1 = m^{-8} \).

Now we can apply the negative exponent rule, which states that \( a^{-n} = \frac{1}{a^n} \).

So, \( m^{-8} = \frac{1}{m^{8}} \).

Thus, the simplified form of \( m^{-8} p^0 \) is:

\[
\frac{1}{m^{8}}
\]

From the options given, the correct choice is:

**StartFraction 1 Over m Superscript 8 EndFraction**.