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

.(1 point)
Responses

r4p8
the fraction with numerator r to the 4th power and denominator p to the 8th power

1r4p8
the fraction with numerator 1 and denominator r to the 4th power p to the 8th power

−r4−p8
negative r to the 4th power minus p to the 8th power

1r4+1p8

1 answer

To simplify the expression \( r^{-4} p^{-8} \), we can make use of the properties of exponents. The expression can be rewritten as:

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

Thus, the correct response is:

1 \( r^4 p^8 \)

This means the simplified form is the fraction with numerator 1 and denominator \( r^4 p^8 \).

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