Identify the simplified form of the expression r−4p−8

Question

.(1 point)
Responses

1/r4p8

−r4 −p8

1/r4 + 1/p8

r4/p8

Answer 1

To simplify the expression \( r^{-4} p^{-8} \), we can use the properties of exponents.

1. Recall that \( a^{-n} = \frac{1}{a^n} \).
2. Applying this to the expression:

\[ r^{-4} p^{-8} = \frac{1}{r^{4}} \cdot \frac{1}{p^{8}} = \frac{1}{r^{4} p^{8}} \]

So the simplified form of \( r^{-4} p^{-8} \) is:

\[ \frac{1}{r^{4} p^{8}} \]

Now, looking at the provided response options, none of them directly state \( \frac{1}{r^{4} p^{8}} \), but it can be interpreted in terms of notational differences. The closest option that represents the same expression in this context is:

1/r^4 + 1/p^8, but that is incorrect as per the rules of exponents.

Thus, none of the listed options is formatted correctly. However, if framed as a single fraction, the right response would be \( 1/r^4 p^8 \).

Since there is no appropriate option given, kindly review the multiple-choice options for alignment or correctness.